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Finding the Third Proportional to 713,143 and 1,585,735

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Solution

The third proportional to 713,143 and 1,585,735 is: 3,526,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,143 : 1,585,735 = 1,585,735 : x
  2. Step 2: Convert to fraction form
    713,143/1,585,735 = 1,585,735/x
  3. Step 3: Cross multiply
    713,143x = 1,585,735 × 1,585,735
  4. Step 4: Simplify right side
    713,143x = 2,514,555,490,225
  5. Step 5: Solve for x
    x = 2,514,555,490,225/713,143
  6. Step 6: Final answer
    x = 3,526,018.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.