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Finding the Third Proportional to 636,270 and 1,316,829

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Solution

The third proportional to 636,270 and 1,316,829 is: 2,725,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,270 : 1,316,829 = 1,316,829 : x
  2. Step 2: Convert to fraction form
    636,270/1,316,829 = 1,316,829/x
  3. Step 3: Cross multiply
    636,270x = 1,316,829 × 1,316,829
  4. Step 4: Simplify right side
    636,270x = 1,734,038,615,241
  5. Step 5: Solve for x
    x = 1,734,038,615,241/636,270
  6. Step 6: Final answer
    x = 2,725,318.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.