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Finding the Third Proportional to 582,776 and 900,045

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Solution

The third proportional to 582,776 and 900,045 is: 1,390,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,776 : 900,045 = 900,045 : x
  2. Step 2: Convert to fraction form
    582,776/900,045 = 900,045/x
  3. Step 3: Cross multiply
    582,776x = 900,045 × 900,045
  4. Step 4: Simplify right side
    582,776x = 810,081,002,025
  5. Step 5: Solve for x
    x = 810,081,002,025/582,776
  6. Step 6: Final answer
    x = 1,390,038.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.