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Finding the Third Proportional to 537,570.56 and 1,154,827.13

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Solution

The third proportional to 537,570.56 and 1,154,827.13 is: 2,480,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,570.56 : 1,154,827.13 = 1,154,827.13 : x
  2. Step 2: Convert to fraction form
    537,570.56/1,154,827.13 = 1,154,827.13/x
  3. Step 3: Cross multiply
    537,570.56x = 1,154,827.13 × 1,154,827.13
  4. Step 4: Simplify right side
    537,570.56x = 1,333,625,688,635.77
  5. Step 5: Solve for x
    x = 1,333,625,688,635.77/537,570.56
  6. Step 6: Final answer
    x = 2,480,838.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.