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Finding the Third Proportional to 749,196 and 1,605,582

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Solution

The third proportional to 749,196 and 1,605,582 is: 3,440,880.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,196 : 1,605,582 = 1,605,582 : x
  2. Step 2: Convert to fraction form
    749,196/1,605,582 = 1,605,582/x
  3. Step 3: Cross multiply
    749,196x = 1,605,582 × 1,605,582
  4. Step 4: Simplify right side
    749,196x = 2,577,893,558,724
  5. Step 5: Solve for x
    x = 2,577,893,558,724/749,196
  6. Step 6: Final answer
    x = 3,440,880.04

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