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Finding the Third Proportional to 507,461 and 1,105,330

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Solution

The third proportional to 507,461 and 1,105,330 is: 2,407,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,461 : 1,105,330 = 1,105,330 : x
  2. Step 2: Convert to fraction form
    507,461/1,105,330 = 1,105,330/x
  3. Step 3: Cross multiply
    507,461x = 1,105,330 × 1,105,330
  4. Step 4: Simplify right side
    507,461x = 1,221,754,408,900
  5. Step 5: Solve for x
    x = 1,221,754,408,900/507,461
  6. Step 6: Final answer
    x = 2,407,582.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.