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Finding the Third Proportional to 688,613 and 1,476,837.50

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Solution

The third proportional to 688,613 and 1,476,837.50 is: 3,167,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,613 : 1,476,837.50 = 1,476,837.50 : x
  2. Step 2: Convert to fraction form
    688,613/1,476,837.50 = 1,476,837.50/x
  3. Step 3: Cross multiply
    688,613x = 1,476,837.50 × 1,476,837.50
  4. Step 4: Simplify right side
    688,613x = 2,181,049,001,406.25
  5. Step 5: Solve for x
    x = 2,181,049,001,406.25/688,613
  6. Step 6: Final answer
    x = 3,167,307.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.