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Finding the Third Proportional to 828,314 and 1,254,946

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Solution

The third proportional to 828,314 and 1,254,946 is: 1,901,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,314 : 1,254,946 = 1,254,946 : x
  2. Step 2: Convert to fraction form
    828,314/1,254,946 = 1,254,946/x
  3. Step 3: Cross multiply
    828,314x = 1,254,946 × 1,254,946
  4. Step 4: Simplify right side
    828,314x = 1,574,889,462,916
  5. Step 5: Solve for x
    x = 1,574,889,462,916/828,314
  6. Step 6: Final answer
    x = 1,901,319.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.