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Finding the Third Proportional to 847,094 and 1,242,382

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Solution

The third proportional to 847,094 and 1,242,382 is: 1,822,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,094 : 1,242,382 = 1,242,382 : x
  2. Step 2: Convert to fraction form
    847,094/1,242,382 = 1,242,382/x
  3. Step 3: Cross multiply
    847,094x = 1,242,382 × 1,242,382
  4. Step 4: Simplify right side
    847,094x = 1,543,513,033,924
  5. Step 5: Solve for x
    x = 1,543,513,033,924/847,094
  6. Step 6: Final answer
    x = 1,822,127.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.