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Finding the Third Proportional to 740,428 and 1,585,836

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Solution

The third proportional to 740,428 and 1,585,836 is: 3,396,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,428 : 1,585,836 = 1,585,836 : x
  2. Step 2: Convert to fraction form
    740,428/1,585,836 = 1,585,836/x
  3. Step 3: Cross multiply
    740,428x = 1,585,836 × 1,585,836
  4. Step 4: Simplify right side
    740,428x = 2,514,875,818,896
  5. Step 5: Solve for x
    x = 2,514,875,818,896/740,428
  6. Step 6: Final answer
    x = 3,396,516.36

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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.