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Finding the Third Proportional to 710,226 and 956,898

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Solution

The third proportional to 710,226 and 956,898 is: 1,289,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,226 : 956,898 = 956,898 : x
  2. Step 2: Convert to fraction form
    710,226/956,898 = 956,898/x
  3. Step 3: Cross multiply
    710,226x = 956,898 × 956,898
  4. Step 4: Simplify right side
    710,226x = 915,653,782,404
  5. Step 5: Solve for x
    x = 915,653,782,404/710,226
  6. Step 6: Final answer
    x = 1,289,242.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.