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Finding the Third Proportional to 743,618 and 1,583,140

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Solution

The third proportional to 743,618 and 1,583,140 is: 3,370,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,618 : 1,583,140 = 1,583,140 : x
  2. Step 2: Convert to fraction form
    743,618/1,583,140 = 1,583,140/x
  3. Step 3: Cross multiply
    743,618x = 1,583,140 × 1,583,140
  4. Step 4: Simplify right side
    743,618x = 2,506,332,259,600
  5. Step 5: Solve for x
    x = 2,506,332,259,600/743,618
  6. Step 6: Final answer
    x = 3,370,456.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.