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Finding the Third Proportional to 613,658 and 1,312,588

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Solution

The third proportional to 613,658 and 1,312,588 is: 2,807,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,658 : 1,312,588 = 1,312,588 : x
  2. Step 2: Convert to fraction form
    613,658/1,312,588 = 1,312,588/x
  3. Step 3: Cross multiply
    613,658x = 1,312,588 × 1,312,588
  4. Step 4: Simplify right side
    613,658x = 1,722,887,257,744
  5. Step 5: Solve for x
    x = 1,722,887,257,744/613,658
  6. Step 6: Final answer
    x = 2,807,569.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.