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Finding the Third Proportional to 413,527 and 883,370

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Solution

The third proportional to 413,527 and 883,370 is: 1,887,041.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,527 : 883,370 = 883,370 : x
  2. Step 2: Convert to fraction form
    413,527/883,370 = 883,370/x
  3. Step 3: Cross multiply
    413,527x = 883,370 × 883,370
  4. Step 4: Simplify right side
    413,527x = 780,342,556,900
  5. Step 5: Solve for x
    x = 780,342,556,900/413,527
  6. Step 6: Final answer
    x = 1,887,041.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.