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Finding the Third Proportional to 602,437 and 1,254,814

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Solution

The third proportional to 602,437 and 1,254,814 is: 2,613,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,437 : 1,254,814 = 1,254,814 : x
  2. Step 2: Convert to fraction form
    602,437/1,254,814 = 1,254,814/x
  3. Step 3: Cross multiply
    602,437x = 1,254,814 × 1,254,814
  4. Step 4: Simplify right side
    602,437x = 1,574,558,174,596
  5. Step 5: Solve for x
    x = 1,574,558,174,596/602,437
  6. Step 6: Final answer
    x = 2,613,647.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.