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Finding the Third Proportional to 560,651 and 847,664

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Solution

The third proportional to 560,651 and 847,664 is: 1,281,607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,651 : 847,664 = 847,664 : x
  2. Step 2: Convert to fraction form
    560,651/847,664 = 847,664/x
  3. Step 3: Cross multiply
    560,651x = 847,664 × 847,664
  4. Step 4: Simplify right side
    560,651x = 718,534,256,896
  5. Step 5: Solve for x
    x = 718,534,256,896/560,651
  6. Step 6: Final answer
    x = 1,281,607.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.