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Finding the Third Proportional to 3,547,581 and 5,480,952

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Solution

The third proportional to 3,547,581 and 5,480,952 is: 8,467,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547,581 : 5,480,952 = 5,480,952 : x
  2. Step 2: Convert to fraction form
    3,547,581/5,480,952 = 5,480,952/x
  3. Step 3: Cross multiply
    3,547,581x = 5,480,952 × 5,480,952
  4. Step 4: Simplify right side
    3,547,581x = 30,040,834,826,304
  5. Step 5: Solve for x
    x = 30,040,834,826,304/3,547,581
  6. Step 6: Final answer
    x = 8,467,977.14

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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.