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Finding the Third Proportional to 833,886 and 1,820,709

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Solution

The third proportional to 833,886 and 1,820,709 is: 3,975,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,886 : 1,820,709 = 1,820,709 : x
  2. Step 2: Convert to fraction form
    833,886/1,820,709 = 1,820,709/x
  3. Step 3: Cross multiply
    833,886x = 1,820,709 × 1,820,709
  4. Step 4: Simplify right side
    833,886x = 3,314,981,262,681
  5. Step 5: Solve for x
    x = 3,314,981,262,681/833,886
  6. Step 6: Final answer
    x = 3,975,341.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.