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Finding the Third Proportional to 480,528 and 1,006,416

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Solution

The third proportional to 480,528 and 1,006,416 is: 2,107,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,528 : 1,006,416 = 1,006,416 : x
  2. Step 2: Convert to fraction form
    480,528/1,006,416 = 1,006,416/x
  3. Step 3: Cross multiply
    480,528x = 1,006,416 × 1,006,416
  4. Step 4: Simplify right side
    480,528x = 1,012,873,165,056
  5. Step 5: Solve for x
    x = 1,012,873,165,056/480,528
  6. Step 6: Final answer
    x = 2,107,833.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.