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Finding the Third Proportional to 610,830 and 932,040

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Solution

The third proportional to 610,830 and 932,040 is: 1,422,160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,830 : 932,040 = 932,040 : x
  2. Step 2: Convert to fraction form
    610,830/932,040 = 932,040/x
  3. Step 3: Cross multiply
    610,830x = 932,040 × 932,040
  4. Step 4: Simplify right side
    610,830x = 868,698,561,600
  5. Step 5: Solve for x
    x = 868,698,561,600/610,830
  6. Step 6: Final answer
    x = 1,422,160.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.