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Finding the Third Proportional to 928,319,904 and 1,404,438,864

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Solution

The third proportional to 928,319,904 and 1,404,438,864 is: 2,124,750,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,319,904 : 1,404,438,864 = 1,404,438,864 : x
  2. Step 2: Convert to fraction form
    928,319,904/1,404,438,864 = 1,404,438,864/x
  3. Step 3: Cross multiply
    928,319,904x = 1,404,438,864 × 1,404,438,864
  4. Step 4: Simplify right side
    928,319,904x = 1,972,448,522,713,610,496
  5. Step 5: Solve for x
    x = 1,972,448,522,713,610,496/928,319,904
  6. Step 6: Final answer
    x = 2,124,750,868.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.