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Finding the Third Proportional to 452,866.57 and 976,673.95

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Solution

The third proportional to 452,866.57 and 976,673.95 is: 2,106,342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,866.57 : 976,673.95 = 976,673.95 : x
  2. Step 2: Convert to fraction form
    452,866.57/976,673.95 = 976,673.95/x
  3. Step 3: Cross multiply
    452,866.57x = 976,673.95 × 976,673.95
  4. Step 4: Simplify right side
    452,866.57x = 953,892,010,712.82
  5. Step 5: Solve for x
    x = 953,892,010,712.82/452,866.57
  6. Step 6: Final answer
    x = 2,106,342.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.