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Finding the Third Proportional to 613,712 and 1,312,718

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Solution

The third proportional to 613,712 and 1,312,718 is: 2,807,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,712 : 1,312,718 = 1,312,718 : x
  2. Step 2: Convert to fraction form
    613,712/1,312,718 = 1,312,718/x
  3. Step 3: Cross multiply
    613,712x = 1,312,718 × 1,312,718
  4. Step 4: Simplify right side
    613,712x = 1,723,228,547,524
  5. Step 5: Solve for x
    x = 1,723,228,547,524/613,712
  6. Step 6: Final answer
    x = 2,807,878.20

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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.