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Finding the Third Proportional to 710,642 and 1,526,692

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Solution

The third proportional to 710,642 and 1,526,692 is: 3,279,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,642 : 1,526,692 = 1,526,692 : x
  2. Step 2: Convert to fraction form
    710,642/1,526,692 = 1,526,692/x
  3. Step 3: Cross multiply
    710,642x = 1,526,692 × 1,526,692
  4. Step 4: Simplify right side
    710,642x = 2,330,788,462,864
  5. Step 5: Solve for x
    x = 2,330,788,462,864/710,642
  6. Step 6: Final answer
    x = 3,279,834.94

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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.