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Finding the Third Proportional to 1,587,078 and 3,527,316

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Solution

The third proportional to 1,587,078 and 3,527,316 is: 7,839,537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587,078 : 3,527,316 = 3,527,316 : x
  2. Step 2: Convert to fraction form
    1,587,078/3,527,316 = 3,527,316/x
  3. Step 3: Cross multiply
    1,587,078x = 3,527,316 × 3,527,316
  4. Step 4: Simplify right side
    1,587,078x = 12,441,958,163,856
  5. Step 5: Solve for x
    x = 12,441,958,163,856/1,587,078
  6. Step 6: Final answer
    x = 7,839,537.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.