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Finding the Third Proportional to 738,146 and 1,535,190

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Solution

The third proportional to 738,146 and 1,535,190 is: 3,192,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,146 : 1,535,190 = 1,535,190 : x
  2. Step 2: Convert to fraction form
    738,146/1,535,190 = 1,535,190/x
  3. Step 3: Cross multiply
    738,146x = 1,535,190 × 1,535,190
  4. Step 4: Simplify right side
    738,146x = 2,356,808,336,100
  5. Step 5: Solve for x
    x = 2,356,808,336,100/738,146
  6. Step 6: Final answer
    x = 3,192,875.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.