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Finding the Third Proportional to 882,127.97 and 1,297,354.22

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Solution

The third proportional to 882,127.97 and 1,297,354.22 is: 1,908,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,127.97 : 1,297,354.22 = 1,297,354.22 : x
  2. Step 2: Convert to fraction form
    882,127.97/1,297,354.22 = 1,297,354.22/x
  3. Step 3: Cross multiply
    882,127.97x = 1,297,354.22 × 1,297,354.22
  4. Step 4: Simplify right side
    882,127.97x = 1,683,127,968,908.42
  5. Step 5: Solve for x
    x = 1,683,127,968,908.42/882,127.97
  6. Step 6: Final answer
    x = 1,908,031.52

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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.