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Finding the Third Proportional to 980,005 and 1,475,709

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Solution

The third proportional to 980,005 and 1,475,709 is: 2,222,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,005 : 1,475,709 = 1,475,709 : x
  2. Step 2: Convert to fraction form
    980,005/1,475,709 = 1,475,709/x
  3. Step 3: Cross multiply
    980,005x = 1,475,709 × 1,475,709
  4. Step 4: Simplify right side
    980,005x = 2,177,717,052,681
  5. Step 5: Solve for x
    x = 2,177,717,052,681/980,005
  6. Step 6: Final answer
    x = 2,222,148.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.