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Finding the Third Proportional to 1,028,456,602 and 1,566,747,373

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Solution

The third proportional to 1,028,456,602 and 1,566,747,373 is: 2,386,777,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,456,602 : 1,566,747,373 = 1,566,747,373 : x
  2. Step 2: Convert to fraction form
    1,028,456,602/1,566,747,373 = 1,566,747,373/x
  3. Step 3: Cross multiply
    1,028,456,602x = 1,566,747,373 × 1,566,747,373
  4. Step 4: Simplify right side
    1,028,456,602x = 2,454,697,330,802,401,280
  5. Step 5: Solve for x
    x = 2,454,697,330,802,401,280/1,028,456,602
  6. Step 6: Final answer
    x = 2,386,777,746.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.