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Finding the Third Proportional to 782,560 and 1,048,209

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Solution

The third proportional to 782,560 and 1,048,209 is: 1,404,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,560 : 1,048,209 = 1,048,209 : x
  2. Step 2: Convert to fraction form
    782,560/1,048,209 = 1,048,209/x
  3. Step 3: Cross multiply
    782,560x = 1,048,209 × 1,048,209
  4. Step 4: Simplify right side
    782,560x = 1,098,742,107,681
  5. Step 5: Solve for x
    x = 1,098,742,107,681/782,560
  6. Step 6: Final answer
    x = 1,404,035.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.