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Finding the Third Proportional to 631,470 and 972,113

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Solution

The third proportional to 631,470 and 972,113 is: 1,496,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,470 : 972,113 = 972,113 : x
  2. Step 2: Convert to fraction form
    631,470/972,113 = 972,113/x
  3. Step 3: Cross multiply
    631,470x = 972,113 × 972,113
  4. Step 4: Simplify right side
    631,470x = 945,003,684,769
  5. Step 5: Solve for x
    x = 945,003,684,769/631,470
  6. Step 6: Final answer
    x = 1,496,513.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.