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Finding the Third Proportional to 539,164 and 1,154,066

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Solution

The third proportional to 539,164 and 1,154,066 is: 2,470,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,164 : 1,154,066 = 1,154,066 : x
  2. Step 2: Convert to fraction form
    539,164/1,154,066 = 1,154,066/x
  3. Step 3: Cross multiply
    539,164x = 1,154,066 × 1,154,066
  4. Step 4: Simplify right side
    539,164x = 1,331,868,332,356
  5. Step 5: Solve for x
    x = 1,331,868,332,356/539,164
  6. Step 6: Final answer
    x = 2,470,247.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.