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Finding the Third Proportional to 720,588 and 1,564,248

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Solution

The third proportional to 720,588 and 1,564,248 is: 3,395,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,588 : 1,564,248 = 1,564,248 : x
  2. Step 2: Convert to fraction form
    720,588/1,564,248 = 1,564,248/x
  3. Step 3: Cross multiply
    720,588x = 1,564,248 × 1,564,248
  4. Step 4: Simplify right side
    720,588x = 2,446,871,805,504
  5. Step 5: Solve for x
    x = 2,446,871,805,504/720,588
  6. Step 6: Final answer
    x = 3,395,659.94

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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.