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Finding the Third Proportional to 738,156 and 1,598,743.50

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Solution

The third proportional to 738,156 and 1,598,743.50 is: 3,462,656.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,156 : 1,598,743.50 = 1,598,743.50 : x
  2. Step 2: Convert to fraction form
    738,156/1,598,743.50 = 1,598,743.50/x
  3. Step 3: Cross multiply
    738,156x = 1,598,743.50 × 1,598,743.50
  4. Step 4: Simplify right side
    738,156x = 2,555,980,778,792.25
  5. Step 5: Solve for x
    x = 2,555,980,778,792.25/738,156
  6. Step 6: Final answer
    x = 3,462,656.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.