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Finding the Third Proportional to 3,547,598 and 5,409,957

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Solution

The third proportional to 3,547,598 and 5,409,957 is: 8,249,986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547,598 : 5,409,957 = 5,409,957 : x
  2. Step 2: Convert to fraction form
    3,547,598/5,409,957 = 5,409,957/x
  3. Step 3: Cross multiply
    3,547,598x = 5,409,957 × 5,409,957
  4. Step 4: Simplify right side
    3,547,598x = 29,267,634,741,849
  5. Step 5: Solve for x
    x = 29,267,634,741,849/3,547,598
  6. Step 6: Final answer
    x = 8,249,986.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.