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Finding the Third Proportional to 712,896,624 and 1,134,358,704

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Solution

The third proportional to 712,896,624 and 1,134,358,704 is: 1,804,987,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,896,624 : 1,134,358,704 = 1,134,358,704 : x
  2. Step 2: Convert to fraction form
    712,896,624/1,134,358,704 = 1,134,358,704/x
  3. Step 3: Cross multiply
    712,896,624x = 1,134,358,704 × 1,134,358,704
  4. Step 4: Simplify right side
    712,896,624x = 1,286,769,669,340,559,616
  5. Step 5: Solve for x
    x = 1,286,769,669,340,559,616/712,896,624
  6. Step 6: Final answer
    x = 1,804,987,744.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.