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Finding the Third Proportional to 473,796 and 1,012,712

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Solution

The third proportional to 473,796 and 1,012,712 is: 2,164,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,796 : 1,012,712 = 1,012,712 : x
  2. Step 2: Convert to fraction form
    473,796/1,012,712 = 1,012,712/x
  3. Step 3: Cross multiply
    473,796x = 1,012,712 × 1,012,712
  4. Step 4: Simplify right side
    473,796x = 1,025,585,594,944
  5. Step 5: Solve for x
    x = 1,025,585,594,944/473,796
  6. Step 6: Final answer
    x = 2,164,614.30

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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.