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Finding the Third Proportional to 643,184 and 945,506

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Solution

The third proportional to 643,184 and 945,506 is: 1,389,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,184 : 945,506 = 945,506 : x
  2. Step 2: Convert to fraction form
    643,184/945,506 = 945,506/x
  3. Step 3: Cross multiply
    643,184x = 945,506 × 945,506
  4. Step 4: Simplify right side
    643,184x = 893,981,596,036
  5. Step 5: Solve for x
    x = 893,981,596,036/643,184
  6. Step 6: Final answer
    x = 1,389,931.34

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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.