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Finding the Third Proportional to 932,382 and 1,316,054.25

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Solution

The third proportional to 932,382 and 1,316,054.25 is: 1,857,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,382 : 1,316,054.25 = 1,316,054.25 : x
  2. Step 2: Convert to fraction form
    932,382/1,316,054.25 = 1,316,054.25/x
  3. Step 3: Cross multiply
    932,382x = 1,316,054.25 × 1,316,054.25
  4. Step 4: Simplify right side
    932,382x = 1,731,998,788,943.06
  5. Step 5: Solve for x
    x = 1,731,998,788,943.06/932,382
  6. Step 6: Final answer
    x = 1,857,606.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.