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Finding the Third Proportional to 532,684 and 1,165,013

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Solution

The third proportional to 532,684 and 1,165,013 is: 2,547,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,684 : 1,165,013 = 1,165,013 : x
  2. Step 2: Convert to fraction form
    532,684/1,165,013 = 1,165,013/x
  3. Step 3: Cross multiply
    532,684x = 1,165,013 × 1,165,013
  4. Step 4: Simplify right side
    532,684x = 1,357,255,290,169
  5. Step 5: Solve for x
    x = 1,357,255,290,169/532,684
  6. Step 6: Final answer
    x = 2,547,955.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.