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Finding the Third Proportional to 710,542 and 1,526,492

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Solution

The third proportional to 710,542 and 1,526,492 is: 3,279,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,542 : 1,526,492 = 1,526,492 : x
  2. Step 2: Convert to fraction form
    710,542/1,526,492 = 1,526,492/x
  3. Step 3: Cross multiply
    710,542x = 1,526,492 × 1,526,492
  4. Step 4: Simplify right side
    710,542x = 2,330,177,826,064
  5. Step 5: Solve for x
    x = 2,330,177,826,064/710,542
  6. Step 6: Final answer
    x = 3,279,437.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.