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Finding the Third Proportional to 761,366 and 1,071,221

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Solution

The third proportional to 761,366 and 1,071,221 is: 1,507,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,366 : 1,071,221 = 1,071,221 : x
  2. Step 2: Convert to fraction form
    761,366/1,071,221 = 1,071,221/x
  3. Step 3: Cross multiply
    761,366x = 1,071,221 × 1,071,221
  4. Step 4: Simplify right side
    761,366x = 1,147,514,430,841
  5. Step 5: Solve for x
    x = 1,147,514,430,841/761,366
  6. Step 6: Final answer
    x = 1,507,178.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.