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Finding the Third Proportional to 621,132 and 912,010

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Solution

The third proportional to 621,132 and 912,010 is: 1,339,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,132 : 912,010 = 912,010 : x
  2. Step 2: Convert to fraction form
    621,132/912,010 = 912,010/x
  3. Step 3: Cross multiply
    621,132x = 912,010 × 912,010
  4. Step 4: Simplify right side
    621,132x = 831,762,240,100
  5. Step 5: Solve for x
    x = 831,762,240,100/621,132
  6. Step 6: Final answer
    x = 1,339,107.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.