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Finding the Third Proportional to 651,769 and 954,320

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Solution

The third proportional to 651,769 and 954,320 is: 1,397,315.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,769 : 954,320 = 954,320 : x
  2. Step 2: Convert to fraction form
    651,769/954,320 = 954,320/x
  3. Step 3: Cross multiply
    651,769x = 954,320 × 954,320
  4. Step 4: Simplify right side
    651,769x = 910,726,662,400
  5. Step 5: Solve for x
    x = 910,726,662,400/651,769
  6. Step 6: Final answer
    x = 1,397,315.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.