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Finding the Third Proportional to 1,092,963,768 and 1,690,518,444

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Solution

The third proportional to 1,092,963,768 and 1,690,518,444 is: 2,614,773,419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,963,768 : 1,690,518,444 = 1,690,518,444 : x
  2. Step 2: Convert to fraction form
    1,092,963,768/1,690,518,444 = 1,690,518,444/x
  3. Step 3: Cross multiply
    1,092,963,768x = 1,690,518,444 × 1,690,518,444
  4. Step 4: Simplify right side
    1,092,963,768x = 2,857,852,609,504,181,248
  5. Step 5: Solve for x
    x = 2,857,852,609,504,181,248/1,092,963,768
  6. Step 6: Final answer
    x = 2,614,773,419.92

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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.