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Finding the Third Proportional to 2,977,239 and 6,458,583

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Solution

The third proportional to 2,977,239 and 6,458,583 is: 14,010,730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977,239 : 6,458,583 = 6,458,583 : x
  2. Step 2: Convert to fraction form
    2,977,239/6,458,583 = 6,458,583/x
  3. Step 3: Cross multiply
    2,977,239x = 6,458,583 × 6,458,583
  4. Step 4: Simplify right side
    2,977,239x = 41,713,294,367,889
  5. Step 5: Solve for x
    x = 41,713,294,367,889/2,977,239
  6. Step 6: Final answer
    x = 14,010,730.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.