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Finding the Third Proportional to 749,004 and 1,602,984

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Solution

The third proportional to 749,004 and 1,602,984 is: 3,430,632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,004 : 1,602,984 = 1,602,984 : x
  2. Step 2: Convert to fraction form
    749,004/1,602,984 = 1,602,984/x
  3. Step 3: Cross multiply
    749,004x = 1,602,984 × 1,602,984
  4. Step 4: Simplify right side
    749,004x = 2,569,557,704,256
  5. Step 5: Solve for x
    x = 2,569,557,704,256/749,004
  6. Step 6: Final answer
    x = 3,430,632.82

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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.