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Finding the Third Proportional to 1,310,421 and 2,851,602

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Solution

The third proportional to 1,310,421 and 2,851,602 is: 6,205,359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,421 : 2,851,602 = 2,851,602 : x
  2. Step 2: Convert to fraction form
    1,310,421/2,851,602 = 2,851,602/x
  3. Step 3: Cross multiply
    1,310,421x = 2,851,602 × 2,851,602
  4. Step 4: Simplify right side
    1,310,421x = 8,131,633,966,404
  5. Step 5: Solve for x
    x = 8,131,633,966,404/1,310,421
  6. Step 6: Final answer
    x = 6,205,359.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.