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Finding the Third Proportional to 458,506 and 1,010,324

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Solution

The third proportional to 458,506 and 1,010,324 is: 2,226,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,506 : 1,010,324 = 1,010,324 : x
  2. Step 2: Convert to fraction form
    458,506/1,010,324 = 1,010,324/x
  3. Step 3: Cross multiply
    458,506x = 1,010,324 × 1,010,324
  4. Step 4: Simplify right side
    458,506x = 1,020,754,584,976
  5. Step 5: Solve for x
    x = 1,020,754,584,976/458,506
  6. Step 6: Final answer
    x = 2,226,262.22

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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.