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Finding the Third Proportional to 1,297,589.63 and 1,997,206.88

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Solution

The third proportional to 1,297,589.63 and 1,997,206.88 is: 3,074,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,589.63 : 1,997,206.88 = 1,997,206.88 : x
  2. Step 2: Convert to fraction form
    1,297,589.63/1,997,206.88 = 1,997,206.88/x
  3. Step 3: Cross multiply
    1,297,589.63x = 1,997,206.88 × 1,997,206.88
  4. Step 4: Simplify right side
    1,297,589.63x = 3,988,835,301,547.27
  5. Step 5: Solve for x
    x = 3,988,835,301,547.27/1,297,589.63
  6. Step 6: Final answer
    x = 3,074,034.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.