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Finding the Third Proportional to 480,206 and 1,041,808

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Solution

The third proportional to 480,206 and 1,041,808 is: 2,260,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,206 : 1,041,808 = 1,041,808 : x
  2. Step 2: Convert to fraction form
    480,206/1,041,808 = 1,041,808/x
  3. Step 3: Cross multiply
    480,206x = 1,041,808 × 1,041,808
  4. Step 4: Simplify right side
    480,206x = 1,085,363,908,864
  5. Step 5: Solve for x
    x = 1,085,363,908,864/480,206
  6. Step 6: Final answer
    x = 2,260,204.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.