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Finding the Third Proportional to 928,319,661 and 1,404,438,493.50

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Solution

The third proportional to 928,319,661 and 1,404,438,493.50 is: 2,124,750,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,319,661 : 1,404,438,493.50 = 1,404,438,493.50 : x
  2. Step 2: Convert to fraction form
    928,319,661/1,404,438,493.50 = 1,404,438,493.50/x
  3. Step 3: Cross multiply
    928,319,661x = 1,404,438,493.50 × 1,404,438,493.50
  4. Step 4: Simplify right side
    928,319,661x = 1,972,447,482,024,549,632
  5. Step 5: Solve for x
    x = 1,972,447,482,024,549,632/928,319,661
  6. Step 6: Final answer
    x = 2,124,750,304.11

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