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Finding the Third Proportional to 849,024 and 1,785,564

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Solution

The third proportional to 849,024 and 1,785,564 is: 3,755,181.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,024 : 1,785,564 = 1,785,564 : x
  2. Step 2: Convert to fraction form
    849,024/1,785,564 = 1,785,564/x
  3. Step 3: Cross multiply
    849,024x = 1,785,564 × 1,785,564
  4. Step 4: Simplify right side
    849,024x = 3,188,238,798,096
  5. Step 5: Solve for x
    x = 3,188,238,798,096/849,024
  6. Step 6: Final answer
    x = 3,755,181.01

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.