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Finding the Third Proportional to 532,023 and 1,167,402

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Solution

The third proportional to 532,023 and 1,167,402 is: 2,561,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,023 : 1,167,402 = 1,167,402 : x
  2. Step 2: Convert to fraction form
    532,023/1,167,402 = 1,167,402/x
  3. Step 3: Cross multiply
    532,023x = 1,167,402 × 1,167,402
  4. Step 4: Simplify right side
    532,023x = 1,362,827,429,604
  5. Step 5: Solve for x
    x = 1,362,827,429,604/532,023
  6. Step 6: Final answer
    x = 2,561,594.95

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