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Finding the Third Proportional to 1,638,246 and 2,564,298

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Solution

The third proportional to 1,638,246 and 2,564,298 is: 4,013,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,246 : 2,564,298 = 2,564,298 : x
  2. Step 2: Convert to fraction form
    1,638,246/2,564,298 = 2,564,298/x
  3. Step 3: Cross multiply
    1,638,246x = 2,564,298 × 2,564,298
  4. Step 4: Simplify right side
    1,638,246x = 6,575,624,232,804
  5. Step 5: Solve for x
    x = 6,575,624,232,804/1,638,246
  6. Step 6: Final answer
    x = 4,013,819.80

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.