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Finding the Third Proportional to 417,516 and 909,528

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Solution

The third proportional to 417,516 and 909,528 is: 1,981,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,516 : 909,528 = 909,528 : x
  2. Step 2: Convert to fraction form
    417,516/909,528 = 909,528/x
  3. Step 3: Cross multiply
    417,516x = 909,528 × 909,528
  4. Step 4: Simplify right side
    417,516x = 827,241,182,784
  5. Step 5: Solve for x
    x = 827,241,182,784/417,516
  6. Step 6: Final answer
    x = 1,981,340.08

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Why These Related Problems?

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