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Finding the Third Proportional to 710,316 and 1,560,600

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Solution

The third proportional to 710,316 and 1,560,600 is: 3,428,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,316 : 1,560,600 = 1,560,600 : x
  2. Step 2: Convert to fraction form
    710,316/1,560,600 = 1,560,600/x
  3. Step 3: Cross multiply
    710,316x = 1,560,600 × 1,560,600
  4. Step 4: Simplify right side
    710,316x = 2,435,472,360,000
  5. Step 5: Solve for x
    x = 2,435,472,360,000/710,316
  6. Step 6: Final answer
    x = 3,428,716.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.