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Finding the Third Proportional to 742,284 and 1,626,433

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Solution

The third proportional to 742,284 and 1,626,433 is: 3,563,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,284 : 1,626,433 = 1,626,433 : x
  2. Step 2: Convert to fraction form
    742,284/1,626,433 = 1,626,433/x
  3. Step 3: Cross multiply
    742,284x = 1,626,433 × 1,626,433
  4. Step 4: Simplify right side
    742,284x = 2,645,284,303,489
  5. Step 5: Solve for x
    x = 2,645,284,303,489/742,284
  6. Step 6: Final answer
    x = 3,563,709.18

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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.