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Finding the Third Proportional to 680,547.38 and 1,044,613.69

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Solution

The third proportional to 680,547.38 and 1,044,613.69 is: 1,603,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,547.38 : 1,044,613.69 = 1,044,613.69 : x
  2. Step 2: Convert to fraction form
    680,547.38/1,044,613.69 = 1,044,613.69/x
  3. Step 3: Cross multiply
    680,547.38x = 1,044,613.69 × 1,044,613.69
  4. Step 4: Simplify right side
    680,547.38x = 1,091,217,756,112.35
  5. Step 5: Solve for x
    x = 1,091,217,756,112.35/680,547.38
  6. Step 6: Final answer
    x = 1,603,441.28

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.