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Finding the Third Proportional to 538,146 and 1,153,566

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Solution

The third proportional to 538,146 and 1,153,566 is: 2,472,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,146 : 1,153,566 = 1,153,566 : x
  2. Step 2: Convert to fraction form
    538,146/1,153,566 = 1,153,566/x
  3. Step 3: Cross multiply
    538,146x = 1,153,566 × 1,153,566
  4. Step 4: Simplify right side
    538,146x = 1,330,714,516,356
  5. Step 5: Solve for x
    x = 1,330,714,516,356/538,146
  6. Step 6: Final answer
    x = 2,472,776.01

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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.