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Finding the Third Proportional to 710,976 and 1,521,597

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Solution

The third proportional to 710,976 and 1,521,597 is: 3,256,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,976 : 1,521,597 = 1,521,597 : x
  2. Step 2: Convert to fraction form
    710,976/1,521,597 = 1,521,597/x
  3. Step 3: Cross multiply
    710,976x = 1,521,597 × 1,521,597
  4. Step 4: Simplify right side
    710,976x = 2,315,257,430,409
  5. Step 5: Solve for x
    x = 2,315,257,430,409/710,976
  6. Step 6: Final answer
    x = 3,256,449.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.