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Finding the Third Proportional to 1,560,416 and 3,406,598

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Solution

The third proportional to 1,560,416 and 3,406,598 is: 7,437,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,416 : 3,406,598 = 3,406,598 : x
  2. Step 2: Convert to fraction form
    1,560,416/3,406,598 = 3,406,598/x
  3. Step 3: Cross multiply
    1,560,416x = 3,406,598 × 3,406,598
  4. Step 4: Simplify right side
    1,560,416x = 11,604,909,933,604
  5. Step 5: Solve for x
    x = 11,604,909,933,604/1,560,416
  6. Step 6: Final answer
    x = 7,437,061.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.