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Finding the Third Proportional to 1,217,034 and 2,596,968

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Solution

The third proportional to 1,217,034 and 2,596,968 is: 5,541,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217,034 : 2,596,968 = 2,596,968 : x
  2. Step 2: Convert to fraction form
    1,217,034/2,596,968 = 2,596,968/x
  3. Step 3: Cross multiply
    1,217,034x = 2,596,968 × 2,596,968
  4. Step 4: Simplify right side
    1,217,034x = 6,744,242,793,024
  5. Step 5: Solve for x
    x = 6,744,242,793,024/1,217,034
  6. Step 6: Final answer
    x = 5,541,540.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.