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Finding the Third Proportional to 592,164 and 1,302,399

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Solution

The third proportional to 592,164 and 1,302,399 is: 2,864,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,164 : 1,302,399 = 1,302,399 : x
  2. Step 2: Convert to fraction form
    592,164/1,302,399 = 1,302,399/x
  3. Step 3: Cross multiply
    592,164x = 1,302,399 × 1,302,399
  4. Step 4: Simplify right side
    592,164x = 1,696,243,155,201
  5. Step 5: Solve for x
    x = 1,696,243,155,201/592,164
  6. Step 6: Final answer
    x = 2,864,482.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.