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Finding the Third Proportional to 587,184 and 1,127,706

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Solution

The third proportional to 587,184 and 1,127,706 is: 2,165,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,184 : 1,127,706 = 1,127,706 : x
  2. Step 2: Convert to fraction form
    587,184/1,127,706 = 1,127,706/x
  3. Step 3: Cross multiply
    587,184x = 1,127,706 × 1,127,706
  4. Step 4: Simplify right side
    587,184x = 1,271,720,822,436
  5. Step 5: Solve for x
    x = 1,271,720,822,436/587,184
  6. Step 6: Final answer
    x = 2,165,796.11

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.