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Finding the Third Proportional to 972,195 and 1,425,459

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Solution

The third proportional to 972,195 and 1,425,459 is: 2,090,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,195 : 1,425,459 = 1,425,459 : x
  2. Step 2: Convert to fraction form
    972,195/1,425,459 = 1,425,459/x
  3. Step 3: Cross multiply
    972,195x = 1,425,459 × 1,425,459
  4. Step 4: Simplify right side
    972,195x = 2,031,933,360,681
  5. Step 5: Solve for x
    x = 2,031,933,360,681/972,195
  6. Step 6: Final answer
    x = 2,090,047.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.