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Finding the Third Proportional to 718,465 and 1,197,391

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Solution

The third proportional to 718,465 and 1,197,391 is: 1,995,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,465 : 1,197,391 = 1,197,391 : x
  2. Step 2: Convert to fraction form
    718,465/1,197,391 = 1,197,391/x
  3. Step 3: Cross multiply
    718,465x = 1,197,391 × 1,197,391
  4. Step 4: Simplify right side
    718,465x = 1,433,745,206,881
  5. Step 5: Solve for x
    x = 1,433,745,206,881/718,465
  6. Step 6: Final answer
    x = 1,995,567.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.