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Finding the Third Proportional to 646,554 and 1,413,486

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Solution

The third proportional to 646,554 and 1,413,486 is: 3,090,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,554 : 1,413,486 = 1,413,486 : x
  2. Step 2: Convert to fraction form
    646,554/1,413,486 = 1,413,486/x
  3. Step 3: Cross multiply
    646,554x = 1,413,486 × 1,413,486
  4. Step 4: Simplify right side
    646,554x = 1,997,942,672,196
  5. Step 5: Solve for x
    x = 1,997,942,672,196/646,554
  6. Step 6: Final answer
    x = 3,090,140.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.