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Finding the Third Proportional to 730,814,536 and 1,724,648,120

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Solution

The third proportional to 730,814,536 and 1,724,648,120 is: 4,069,994,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,814,536 : 1,724,648,120 = 1,724,648,120 : x
  2. Step 2: Convert to fraction form
    730,814,536/1,724,648,120 = 1,724,648,120/x
  3. Step 3: Cross multiply
    730,814,536x = 1,724,648,120 × 1,724,648,120
  4. Step 4: Simplify right side
    730,814,536x = 2,974,411,137,819,534,336
  5. Step 5: Solve for x
    x = 2,974,411,137,819,534,336/730,814,536
  6. Step 6: Final answer
    x = 4,069,994,494.22

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Why These Related Problems?

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