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Finding the Third Proportional to 1,092,963,770 and 1,690,518,447

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Solution

The third proportional to 1,092,963,770 and 1,690,518,447 is: 2,614,773,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,963,770 : 1,690,518,447 = 1,690,518,447 : x
  2. Step 2: Convert to fraction form
    1,092,963,770/1,690,518,447 = 1,690,518,447/x
  3. Step 3: Cross multiply
    1,092,963,770x = 1,690,518,447 × 1,690,518,447
  4. Step 4: Simplify right side
    1,092,963,770x = 2,857,852,619,647,291,904
  5. Step 5: Solve for x
    x = 2,857,852,619,647,291,904/1,092,963,770
  6. Step 6: Final answer
    x = 2,614,773,424.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.