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Finding the Third Proportional to 742,618 and 1,624,340

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Solution

The third proportional to 742,618 and 1,624,340 is: 3,552,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,618 : 1,624,340 = 1,624,340 : x
  2. Step 2: Convert to fraction form
    742,618/1,624,340 = 1,624,340/x
  3. Step 3: Cross multiply
    742,618x = 1,624,340 × 1,624,340
  4. Step 4: Simplify right side
    742,618x = 2,638,480,435,600
  5. Step 5: Solve for x
    x = 2,638,480,435,600/742,618
  6. Step 6: Final answer
    x = 3,552,944.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.