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Finding the Third Proportional to 610,205 and 1,327,437

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Solution

The third proportional to 610,205 and 1,327,437 is: 2,887,700.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,205 : 1,327,437 = 1,327,437 : x
  2. Step 2: Convert to fraction form
    610,205/1,327,437 = 1,327,437/x
  3. Step 3: Cross multiply
    610,205x = 1,327,437 × 1,327,437
  4. Step 4: Simplify right side
    610,205x = 1,762,088,988,969
  5. Step 5: Solve for x
    x = 1,762,088,988,969/610,205
  6. Step 6: Final answer
    x = 2,887,700.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.