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Finding the Third Proportional to 789,516,582 and 1,710,830,460

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Solution

The third proportional to 789,516,582 and 1,710,830,460 is: 3,707,256,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,516,582 : 1,710,830,460 = 1,710,830,460 : x
  2. Step 2: Convert to fraction form
    789,516,582/1,710,830,460 = 1,710,830,460/x
  3. Step 3: Cross multiply
    789,516,582x = 1,710,830,460 × 1,710,830,460
  4. Step 4: Simplify right side
    789,516,582x = 2,926,940,862,863,811,584
  5. Step 5: Solve for x
    x = 2,926,940,862,863,811,584/789,516,582
  6. Step 6: Final answer
    x = 3,707,256,984.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.