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Finding the Third Proportional to 812,700 and 1,775,304

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Solution

The third proportional to 812,700 and 1,775,304 is: 3,878,066.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,700 : 1,775,304 = 1,775,304 : x
  2. Step 2: Convert to fraction form
    812,700/1,775,304 = 1,775,304/x
  3. Step 3: Cross multiply
    812,700x = 1,775,304 × 1,775,304
  4. Step 4: Simplify right side
    812,700x = 3,151,704,292,416
  5. Step 5: Solve for x
    x = 3,151,704,292,416/812,700
  6. Step 6: Final answer
    x = 3,878,066.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.