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Finding the Third Proportional to 748,956 and 1,602,888

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Solution

The third proportional to 748,956 and 1,602,888 is: 3,430,441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,956 : 1,602,888 = 1,602,888 : x
  2. Step 2: Convert to fraction form
    748,956/1,602,888 = 1,602,888/x
  3. Step 3: Cross multiply
    748,956x = 1,602,888 × 1,602,888
  4. Step 4: Simplify right side
    748,956x = 2,569,249,940,544
  5. Step 5: Solve for x
    x = 2,569,249,940,544/748,956
  6. Step 6: Final answer
    x = 3,430,441.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.