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Finding the Third Proportional to 963,220 and 1,416,900

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Solution

The third proportional to 963,220 and 1,416,900 is: 2,084,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,220 : 1,416,900 = 1,416,900 : x
  2. Step 2: Convert to fraction form
    963,220/1,416,900 = 1,416,900/x
  3. Step 3: Cross multiply
    963,220x = 1,416,900 × 1,416,900
  4. Step 4: Simplify right side
    963,220x = 2,007,605,610,000
  5. Step 5: Solve for x
    x = 2,007,605,610,000/963,220
  6. Step 6: Final answer
    x = 2,084,264.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.