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Finding the Third Proportional to 917,584 and 2,159,146

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Solution

The third proportional to 917,584 and 2,159,146 is: 5,080,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,584 : 2,159,146 = 2,159,146 : x
  2. Step 2: Convert to fraction form
    917,584/2,159,146 = 2,159,146/x
  3. Step 3: Cross multiply
    917,584x = 2,159,146 × 2,159,146
  4. Step 4: Simplify right side
    917,584x = 4,661,911,449,316
  5. Step 5: Solve for x
    x = 4,661,911,449,316/917,584
  6. Step 6: Final answer
    x = 5,080,637.25

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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.