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Finding the Third Proportional to 710,600 and 1,513,264

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Solution

The third proportional to 710,600 and 1,513,264 is: 3,222,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,600 : 1,513,264 = 1,513,264 : x
  2. Step 2: Convert to fraction form
    710,600/1,513,264 = 1,513,264/x
  3. Step 3: Cross multiply
    710,600x = 1,513,264 × 1,513,264
  4. Step 4: Simplify right side
    710,600x = 2,289,967,933,696
  5. Step 5: Solve for x
    x = 2,289,967,933,696/710,600
  6. Step 6: Final answer
    x = 3,222,583.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.