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Finding the Third Proportional to 802,130 and 1,712,503

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Solution

The third proportional to 802,130 and 1,712,503 is: 3,656,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,130 : 1,712,503 = 1,712,503 : x
  2. Step 2: Convert to fraction form
    802,130/1,712,503 = 1,712,503/x
  3. Step 3: Cross multiply
    802,130x = 1,712,503 × 1,712,503
  4. Step 4: Simplify right side
    802,130x = 2,932,666,525,009
  5. Step 5: Solve for x
    x = 2,932,666,525,009/802,130
  6. Step 6: Final answer
    x = 3,656,098.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.