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Finding the Third Proportional to 974,388 and 2,125,840

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Solution

The third proportional to 974,388 and 2,125,840 is: 4,637,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,388 : 2,125,840 = 2,125,840 : x
  2. Step 2: Convert to fraction form
    974,388/2,125,840 = 2,125,840/x
  3. Step 3: Cross multiply
    974,388x = 2,125,840 × 2,125,840
  4. Step 4: Simplify right side
    974,388x = 4,519,195,705,600
  5. Step 5: Solve for x
    x = 4,519,195,705,600/974,388
  6. Step 6: Final answer
    x = 4,637,983.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.