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Finding the Third Proportional to 713,164 and 1,566,295

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Solution

The third proportional to 713,164 and 1,566,295 is: 3,439,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,164 : 1,566,295 = 1,566,295 : x
  2. Step 2: Convert to fraction form
    713,164/1,566,295 = 1,566,295/x
  3. Step 3: Cross multiply
    713,164x = 1,566,295 × 1,566,295
  4. Step 4: Simplify right side
    713,164x = 2,453,280,027,025
  5. Step 5: Solve for x
    x = 2,453,280,027,025/713,164
  6. Step 6: Final answer
    x = 3,439,994.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.