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Finding the Third Proportional to 810,470 and 1,876,090

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Solution

The third proportional to 810,470 and 1,876,090 is: 4,342,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,470 : 1,876,090 = 1,876,090 : x
  2. Step 2: Convert to fraction form
    810,470/1,876,090 = 1,876,090/x
  3. Step 3: Cross multiply
    810,470x = 1,876,090 × 1,876,090
  4. Step 4: Simplify right side
    810,470x = 3,519,713,688,100
  5. Step 5: Solve for x
    x = 3,519,713,688,100/810,470
  6. Step 6: Final answer
    x = 4,342,805.64

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.