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Finding the Third Proportional to 2,916,665 and 4,564,971

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Solution

The third proportional to 2,916,665 and 4,564,971 is: 7,144,790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916,665 : 4,564,971 = 4,564,971 : x
  2. Step 2: Convert to fraction form
    2,916,665/4,564,971 = 4,564,971/x
  3. Step 3: Cross multiply
    2,916,665x = 4,564,971 × 4,564,971
  4. Step 4: Simplify right side
    2,916,665x = 20,838,960,230,841
  5. Step 5: Solve for x
    x = 20,838,960,230,841/2,916,665
  6. Step 6: Final answer
    x = 7,144,790.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.