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Finding the Third Proportional to 830,478 and 1,282,521

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Solution

The third proportional to 830,478 and 1,282,521 is: 1,980,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,478 : 1,282,521 = 1,282,521 : x
  2. Step 2: Convert to fraction form
    830,478/1,282,521 = 1,282,521/x
  3. Step 3: Cross multiply
    830,478x = 1,282,521 × 1,282,521
  4. Step 4: Simplify right side
    830,478x = 1,644,860,115,441
  5. Step 5: Solve for x
    x = 1,644,860,115,441/830,478
  6. Step 6: Final answer
    x = 1,980,618.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.