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Finding the Third Proportional to 1,587,572.16 and 3,429,793.13

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Solution

The third proportional to 1,587,572.16 and 3,429,793.13 is: 7,409,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587,572.16 : 3,429,793.13 = 3,429,793.13 : x
  2. Step 2: Convert to fraction form
    1,587,572.16/3,429,793.13 = 3,429,793.13/x
  3. Step 3: Cross multiply
    1,587,572.16x = 3,429,793.13 × 3,429,793.13
  4. Step 4: Simplify right side
    1,587,572.16x = 11,763,480,880,297.27
  5. Step 5: Solve for x
    x = 11,763,480,880,297.27/1,587,572.16
  6. Step 6: Final answer
    x = 7,409,729.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.