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Finding the Third Proportional to 613,534 and 1,312,364

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Solution

The third proportional to 613,534 and 1,312,364 is: 2,807,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,534 : 1,312,364 = 1,312,364 : x
  2. Step 2: Convert to fraction form
    613,534/1,312,364 = 1,312,364/x
  3. Step 3: Cross multiply
    613,534x = 1,312,364 × 1,312,364
  4. Step 4: Simplify right side
    613,534x = 1,722,299,268,496
  5. Step 5: Solve for x
    x = 1,722,299,268,496/613,534
  6. Step 6: Final answer
    x = 2,807,178.20

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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.