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Finding the Third Proportional to 676,188 and 1,053,056.25

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Solution

The third proportional to 676,188 and 1,053,056.25 is: 1,639,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,188 : 1,053,056.25 = 1,053,056.25 : x
  2. Step 2: Convert to fraction form
    676,188/1,053,056.25 = 1,053,056.25/x
  3. Step 3: Cross multiply
    676,188x = 1,053,056.25 × 1,053,056.25
  4. Step 4: Simplify right side
    676,188x = 1,108,927,465,664.06
  5. Step 5: Solve for x
    x = 1,108,927,465,664.06/676,188
  6. Step 6: Final answer
    x = 1,639,969.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.