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Finding the Third Proportional to 462,480 and 1,009,632

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Solution

The third proportional to 462,480 and 1,009,632 is: 2,204,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,480 : 1,009,632 = 1,009,632 : x
  2. Step 2: Convert to fraction form
    462,480/1,009,632 = 1,009,632/x
  3. Step 3: Cross multiply
    462,480x = 1,009,632 × 1,009,632
  4. Step 4: Simplify right side
    462,480x = 1,019,356,775,424
  5. Step 5: Solve for x
    x = 1,019,356,775,424/462,480
  6. Step 6: Final answer
    x = 2,204,109.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.