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Finding the Third Proportional to 749,557,948 and 1,119,927,894

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Solution

The third proportional to 749,557,948 and 1,119,927,894 is: 1,673,304,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,557,948 : 1,119,927,894 = 1,119,927,894 : x
  2. Step 2: Convert to fraction form
    749,557,948/1,119,927,894 = 1,119,927,894/x
  3. Step 3: Cross multiply
    749,557,948x = 1,119,927,894 × 1,119,927,894
  4. Step 4: Simplify right side
    749,557,948x = 1,254,238,487,759,275,264
  5. Step 5: Solve for x
    x = 1,254,238,487,759,275,264/749,557,948
  6. Step 6: Final answer
    x = 1,673,304,233.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.