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Finding the Third Proportional to 1,782,024 and 2,925,460

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Solution

The third proportional to 1,782,024 and 2,925,460 is: 4,802,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,024 : 2,925,460 = 2,925,460 : x
  2. Step 2: Convert to fraction form
    1,782,024/2,925,460 = 2,925,460/x
  3. Step 3: Cross multiply
    1,782,024x = 2,925,460 × 2,925,460
  4. Step 4: Simplify right side
    1,782,024x = 8,558,316,211,600
  5. Step 5: Solve for x
    x = 8,558,316,211,600/1,782,024
  6. Step 6: Final answer
    x = 4,802,581.90

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.