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Finding the Third Proportional to 721,504,862 and 1,115,390,411

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Solution

The third proportional to 721,504,862 and 1,115,390,411 is: 1,724,306,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,504,862 : 1,115,390,411 = 1,115,390,411 : x
  2. Step 2: Convert to fraction form
    721,504,862/1,115,390,411 = 1,115,390,411/x
  3. Step 3: Cross multiply
    721,504,862x = 1,115,390,411 × 1,115,390,411
  4. Step 4: Simplify right side
    721,504,862x = 1,244,095,768,950,748,928
  5. Step 5: Solve for x
    x = 1,244,095,768,950,748,928/721,504,862
  6. Step 6: Final answer
    x = 1,724,306,840.43

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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.