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Finding the Third Proportional to 470,850 and 1,006,320

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Solution

The third proportional to 470,850 and 1,006,320 is: 2,150,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,850 : 1,006,320 = 1,006,320 : x
  2. Step 2: Convert to fraction form
    470,850/1,006,320 = 1,006,320/x
  3. Step 3: Cross multiply
    470,850x = 1,006,320 × 1,006,320
  4. Step 4: Simplify right side
    470,850x = 1,012,679,942,400
  5. Step 5: Solve for x
    x = 1,012,679,942,400/470,850
  6. Step 6: Final answer
    x = 2,150,748.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.