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Finding the Third Proportional to 1,176,804.75 and 2,514,264

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Solution

The third proportional to 1,176,804.75 and 2,514,264 is: 5,371,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,804.75 : 2,514,264 = 2,514,264 : x
  2. Step 2: Convert to fraction form
    1,176,804.75/2,514,264 = 2,514,264/x
  3. Step 3: Cross multiply
    1,176,804.75x = 2,514,264 × 2,514,264
  4. Step 4: Simplify right side
    1,176,804.75x = 6,321,523,461,696
  5. Step 5: Solve for x
    x = 6,321,523,461,696/1,176,804.75
  6. Step 6: Final answer
    x = 5,371,769.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.