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Finding the Third Proportional to 470,306 and 1,014,340

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Solution

The third proportional to 470,306 and 1,014,340 is: 2,187,694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,306 : 1,014,340 = 1,014,340 : x
  2. Step 2: Convert to fraction form
    470,306/1,014,340 = 1,014,340/x
  3. Step 3: Cross multiply
    470,306x = 1,014,340 × 1,014,340
  4. Step 4: Simplify right side
    470,306x = 1,028,885,635,600
  5. Step 5: Solve for x
    x = 1,028,885,635,600/470,306
  6. Step 6: Final answer
    x = 2,187,694.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.