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Finding the Third Proportional to 713,168 and 1,107,840

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Solution

The third proportional to 713,168 and 1,107,840 is: 1,720,926.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,168 : 1,107,840 = 1,107,840 : x
  2. Step 2: Convert to fraction form
    713,168/1,107,840 = 1,107,840/x
  3. Step 3: Cross multiply
    713,168x = 1,107,840 × 1,107,840
  4. Step 4: Simplify right side
    713,168x = 1,227,309,465,600
  5. Step 5: Solve for x
    x = 1,227,309,465,600/713,168
  6. Step 6: Final answer
    x = 1,720,926.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.