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Finding the Third Proportional to 710,505 and 1,526,417

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Solution

The third proportional to 710,505 and 1,526,417 is: 3,279,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,505 : 1,526,417 = 1,526,417 : x
  2. Step 2: Convert to fraction form
    710,505/1,526,417 = 1,526,417/x
  3. Step 3: Cross multiply
    710,505x = 1,526,417 × 1,526,417
  4. Step 4: Simplify right side
    710,505x = 2,329,948,857,889
  5. Step 5: Solve for x
    x = 2,329,948,857,889/710,505
  6. Step 6: Final answer
    x = 3,279,285.66

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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.