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Finding the Third Proportional to 2,600,345 and 4,042,095.50

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Solution

The third proportional to 2,600,345 and 4,042,095.50 is: 6,283,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600,345 : 4,042,095.50 = 4,042,095.50 : x
  2. Step 2: Convert to fraction form
    2,600,345/4,042,095.50 = 4,042,095.50/x
  3. Step 3: Cross multiply
    2,600,345x = 4,042,095.50 × 4,042,095.50
  4. Step 4: Simplify right side
    2,600,345x = 16,338,536,031,120.25
  5. Step 5: Solve for x
    x = 16,338,536,031,120.25/2,600,345
  6. Step 6: Final answer
    x = 6,283,218.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.