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Finding the Third Proportional to 607,002 and 1,312,413

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Solution

The third proportional to 607,002 and 1,312,413 is: 2,837,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,002 : 1,312,413 = 1,312,413 : x
  2. Step 2: Convert to fraction form
    607,002/1,312,413 = 1,312,413/x
  3. Step 3: Cross multiply
    607,002x = 1,312,413 × 1,312,413
  4. Step 4: Simplify right side
    607,002x = 1,722,427,882,569
  5. Step 5: Solve for x
    x = 1,722,427,882,569/607,002
  6. Step 6: Final answer
    x = 2,837,598.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.