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Finding the Third Proportional to 632,178 and 1,369,332

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Solution

The third proportional to 632,178 and 1,369,332 is: 2,966,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,178 : 1,369,332 = 1,369,332 : x
  2. Step 2: Convert to fraction form
    632,178/1,369,332 = 1,369,332/x
  3. Step 3: Cross multiply
    632,178x = 1,369,332 × 1,369,332
  4. Step 4: Simplify right side
    632,178x = 1,875,070,126,224
  5. Step 5: Solve for x
    x = 1,875,070,126,224/632,178
  6. Step 6: Final answer
    x = 2,966,047.74

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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.