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Finding the Third Proportional to 461,220 and 1,009,920

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Solution

The third proportional to 461,220 and 1,009,920 is: 2,211,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,220 : 1,009,920 = 1,009,920 : x
  2. Step 2: Convert to fraction form
    461,220/1,009,920 = 1,009,920/x
  3. Step 3: Cross multiply
    461,220x = 1,009,920 × 1,009,920
  4. Step 4: Simplify right side
    461,220x = 1,019,938,406,400
  5. Step 5: Solve for x
    x = 1,019,938,406,400/461,220
  6. Step 6: Final answer
    x = 2,211,392.41

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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.