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Finding the Third Proportional to 641,053 and 1,371,044

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Solution

The third proportional to 641,053 and 1,371,044 is: 2,932,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,053 : 1,371,044 = 1,371,044 : x
  2. Step 2: Convert to fraction form
    641,053/1,371,044 = 1,371,044/x
  3. Step 3: Cross multiply
    641,053x = 1,371,044 × 1,371,044
  4. Step 4: Simplify right side
    641,053x = 1,879,761,649,936
  5. Step 5: Solve for x
    x = 1,879,761,649,936/641,053
  6. Step 6: Final answer
    x = 2,932,303.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.