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Finding the Third Proportional to 1,536,460 and 2,038,830

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Solution

The third proportional to 1,536,460 and 2,038,830 is: 2,705,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,460 : 2,038,830 = 2,038,830 : x
  2. Step 2: Convert to fraction form
    1,536,460/2,038,830 = 2,038,830/x
  3. Step 3: Cross multiply
    1,536,460x = 2,038,830 × 2,038,830
  4. Step 4: Simplify right side
    1,536,460x = 4,156,827,768,900
  5. Step 5: Solve for x
    x = 4,156,827,768,900/1,536,460
  6. Step 6: Final answer
    x = 2,705,457.85

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.