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Finding the Third Proportional to 2,986,348.50 and 4,566,547.13

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Solution

The third proportional to 2,986,348.50 and 4,566,547.13 is: 6,982,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986,348.50 : 4,566,547.13 = 4,566,547.13 : x
  2. Step 2: Convert to fraction form
    2,986,348.50/4,566,547.13 = 4,566,547.13/x
  3. Step 3: Cross multiply
    2,986,348.50x = 4,566,547.13 × 4,566,547.13
  4. Step 4: Simplify right side
    2,986,348.50x = 20,853,352,644,845.77
  5. Step 5: Solve for x
    x = 20,853,352,644,845.77/2,986,348.50
  6. Step 6: Final answer
    x = 6,982,893.20

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Why These Related Problems?

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