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Finding the Third Proportional to 738,516,197.25 and 1,169,421,696

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Solution

The third proportional to 738,516,197.25 and 1,169,421,696 is: 1,851,749,640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,516,197.25 : 1,169,421,696 = 1,169,421,696 : x
  2. Step 2: Convert to fraction form
    738,516,197.25/1,169,421,696 = 1,169,421,696/x
  3. Step 3: Cross multiply
    738,516,197.25x = 1,169,421,696 × 1,169,421,696
  4. Step 4: Simplify right side
    738,516,197.25x = 1,367,547,103,075,516,416
  5. Step 5: Solve for x
    x = 1,367,547,103,075,516,416/738,516,197.25
  6. Step 6: Final answer
    x = 1,851,749,640.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.