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Finding the Third Proportional to 489,429 and 1,005,210

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Solution

The third proportional to 489,429 and 1,005,210 is: 2,064,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,429 : 1,005,210 = 1,005,210 : x
  2. Step 2: Convert to fraction form
    489,429/1,005,210 = 1,005,210/x
  3. Step 3: Cross multiply
    489,429x = 1,005,210 × 1,005,210
  4. Step 4: Simplify right side
    489,429x = 1,010,447,144,100
  5. Step 5: Solve for x
    x = 1,010,447,144,100/489,429
  6. Step 6: Final answer
    x = 2,064,542.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.