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Finding the Third Proportional to 734,510 and 1,557,202

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Solution

The third proportional to 734,510 and 1,557,202 is: 3,301,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,510 : 1,557,202 = 1,557,202 : x
  2. Step 2: Convert to fraction form
    734,510/1,557,202 = 1,557,202/x
  3. Step 3: Cross multiply
    734,510x = 1,557,202 × 1,557,202
  4. Step 4: Simplify right side
    734,510x = 2,424,878,068,804
  5. Step 5: Solve for x
    x = 2,424,878,068,804/734,510
  6. Step 6: Final answer
    x = 3,301,354.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.