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Finding the Third Proportional to 466,696.69 and 1,017,862.88

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Solution

The third proportional to 466,696.69 and 1,017,862.88 is: 2,219,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,696.69 : 1,017,862.88 = 1,017,862.88 : x
  2. Step 2: Convert to fraction form
    466,696.69/1,017,862.88 = 1,017,862.88/x
  3. Step 3: Cross multiply
    466,696.69x = 1,017,862.88 × 1,017,862.88
  4. Step 4: Simplify right side
    466,696.69x = 1,036,044,832,303.27
  5. Step 5: Solve for x
    x = 1,036,044,832,303.27/466,696.69
  6. Step 6: Final answer
    x = 2,219,953.26

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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.