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Finding the Third Proportional to 631,468.13 and 972,110.25

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Solution

The third proportional to 631,468.13 and 972,110.25 is: 1,496,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,468.13 : 972,110.25 = 972,110.25 : x
  2. Step 2: Convert to fraction form
    631,468.13/972,110.25 = 972,110.25/x
  3. Step 3: Cross multiply
    631,468.13x = 972,110.25 × 972,110.25
  4. Step 4: Simplify right side
    631,468.13x = 944,998,338,155.06
  5. Step 5: Solve for x
    x = 944,998,338,155.06/631,468.13
  6. Step 6: Final answer
    x = 1,496,509.96

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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.