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Finding the Third Proportional to 651,488,419.13 and 917,439,248.25

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Solution

The third proportional to 651,488,419.13 and 917,439,248.25 is: 1,291,956,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,488,419.13 : 917,439,248.25 = 917,439,248.25 : x
  2. Step 2: Convert to fraction form
    651,488,419.13/917,439,248.25 = 917,439,248.25/x
  3. Step 3: Cross multiply
    651,488,419.13x = 917,439,248.25 × 917,439,248.25
  4. Step 4: Simplify right side
    651,488,419.13x = 841,694,774,229,525,120
  5. Step 5: Solve for x
    x = 841,694,774,229,525,120/651,488,419.13
  6. Step 6: Final answer
    x = 1,291,956,617.37

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.