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Finding the Third Proportional to 535,628 and 1,167,403

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Solution

The third proportional to 535,628 and 1,167,403 is: 2,544,358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,628 : 1,167,403 = 1,167,403 : x
  2. Step 2: Convert to fraction form
    535,628/1,167,403 = 1,167,403/x
  3. Step 3: Cross multiply
    535,628x = 1,167,403 × 1,167,403
  4. Step 4: Simplify right side
    535,628x = 1,362,829,764,409
  5. Step 5: Solve for x
    x = 1,362,829,764,409/535,628
  6. Step 6: Final answer
    x = 2,544,358.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.