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Finding the Third Proportional to 690,176 and 1,012,017

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Solution

The third proportional to 690,176 and 1,012,017 is: 1,483,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,176 : 1,012,017 = 1,012,017 : x
  2. Step 2: Convert to fraction form
    690,176/1,012,017 = 1,012,017/x
  3. Step 3: Cross multiply
    690,176x = 1,012,017 × 1,012,017
  4. Step 4: Simplify right side
    690,176x = 1,024,178,408,289
  5. Step 5: Solve for x
    x = 1,024,178,408,289/690,176
  6. Step 6: Final answer
    x = 1,483,938.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.