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Finding the Third Proportional to 651,257 and 1,407,813

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Solution

The third proportional to 651,257 and 1,407,813 is: 3,043,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,257 : 1,407,813 = 1,407,813 : x
  2. Step 2: Convert to fraction form
    651,257/1,407,813 = 1,407,813/x
  3. Step 3: Cross multiply
    651,257x = 1,407,813 × 1,407,813
  4. Step 4: Simplify right side
    651,257x = 1,981,937,442,969
  5. Step 5: Solve for x
    x = 1,981,937,442,969/651,257
  6. Step 6: Final answer
    x = 3,043,249.35

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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.