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Finding the Third Proportional to 696,304 and 1,527,014

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Solution

The third proportional to 696,304 and 1,527,014 is: 3,348,784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,304 : 1,527,014 = 1,527,014 : x
  2. Step 2: Convert to fraction form
    696,304/1,527,014 = 1,527,014/x
  3. Step 3: Cross multiply
    696,304x = 1,527,014 × 1,527,014
  4. Step 4: Simplify right side
    696,304x = 2,331,771,756,196
  5. Step 5: Solve for x
    x = 2,331,771,756,196/696,304
  6. Step 6: Final answer
    x = 3,348,784.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.