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Finding the Third Proportional to 953,148 and 1,474,506

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Solution

The third proportional to 953,148 and 1,474,506 is: 2,281,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,148 : 1,474,506 = 1,474,506 : x
  2. Step 2: Convert to fraction form
    953,148/1,474,506 = 1,474,506/x
  3. Step 3: Cross multiply
    953,148x = 1,474,506 × 1,474,506
  4. Step 4: Simplify right side
    953,148x = 2,174,167,944,036
  5. Step 5: Solve for x
    x = 2,174,167,944,036/953,148
  6. Step 6: Final answer
    x = 2,281,039.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.