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Finding the Third Proportional to 602,721 and 1,267,506

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Solution

The third proportional to 602,721 and 1,267,506 is: 2,665,530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,721 : 1,267,506 = 1,267,506 : x
  2. Step 2: Convert to fraction form
    602,721/1,267,506 = 1,267,506/x
  3. Step 3: Cross multiply
    602,721x = 1,267,506 × 1,267,506
  4. Step 4: Simplify right side
    602,721x = 1,606,571,460,036
  5. Step 5: Solve for x
    x = 1,606,571,460,036/602,721
  6. Step 6: Final answer
    x = 2,665,530.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.