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Finding the Third Proportional to 503,584 and 1,087,597

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Solution

The third proportional to 503,584 and 1,087,597 is: 2,348,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,584 : 1,087,597 = 1,087,597 : x
  2. Step 2: Convert to fraction form
    503,584/1,087,597 = 1,087,597/x
  3. Step 3: Cross multiply
    503,584x = 1,087,597 × 1,087,597
  4. Step 4: Simplify right side
    503,584x = 1,182,867,234,409
  5. Step 5: Solve for x
    x = 1,182,867,234,409/503,584
  6. Step 6: Final answer
    x = 2,348,897.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.