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Finding the Third Proportional to 730,814,524 and 1,724,648,091

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Solution

The third proportional to 730,814,524 and 1,724,648,091 is: 4,069,994,424.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,814,524 : 1,724,648,091 = 1,724,648,091 : x
  2. Step 2: Convert to fraction form
    730,814,524/1,724,648,091 = 1,724,648,091/x
  3. Step 3: Cross multiply
    730,814,524x = 1,724,648,091 × 1,724,648,091
  4. Step 4: Simplify right side
    730,814,524x = 2,974,411,037,789,944,320
  5. Step 5: Solve for x
    x = 2,974,411,037,789,944,320/730,814,524
  6. Step 6: Final answer
    x = 4,069,994,424.18

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.