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Finding the Third Proportional to 1,475,304 and 3,174,810.50

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Solution

The third proportional to 1,475,304 and 3,174,810.50 is: 6,832,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475,304 : 3,174,810.50 = 3,174,810.50 : x
  2. Step 2: Convert to fraction form
    1,475,304/3,174,810.50 = 3,174,810.50/x
  3. Step 3: Cross multiply
    1,475,304x = 3,174,810.50 × 3,174,810.50
  4. Step 4: Simplify right side
    1,475,304x = 10,079,421,710,910.25
  5. Step 5: Solve for x
    x = 10,079,421,710,910.25/1,475,304
  6. Step 6: Final answer
    x = 6,832,098.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.