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Finding the Third Proportional to 1,428,030 and 3,116,475

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Solution

The third proportional to 1,428,030 and 3,116,475 is: 6,801,269.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,030 : 3,116,475 = 3,116,475 : x
  2. Step 2: Convert to fraction form
    1,428,030/3,116,475 = 3,116,475/x
  3. Step 3: Cross multiply
    1,428,030x = 3,116,475 × 3,116,475
  4. Step 4: Simplify right side
    1,428,030x = 9,712,416,425,625
  5. Step 5: Solve for x
    x = 9,712,416,425,625/1,428,030
  6. Step 6: Final answer
    x = 6,801,269.18

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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.