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Finding the Third Proportional to 917,513 and 2,158,721

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Solution

The third proportional to 917,513 and 2,158,721 is: 5,079,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,513 : 2,158,721 = 2,158,721 : x
  2. Step 2: Convert to fraction form
    917,513/2,158,721 = 2,158,721/x
  3. Step 3: Cross multiply
    917,513x = 2,158,721 × 2,158,721
  4. Step 4: Simplify right side
    917,513x = 4,660,076,355,841
  5. Step 5: Solve for x
    x = 4,660,076,355,841/917,513
  6. Step 6: Final answer
    x = 5,079,030.33

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.