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Finding the Third Proportional to 524,965 and 1,124,283

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Solution

The third proportional to 524,965 and 1,124,283 is: 2,407,802.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,965 : 1,124,283 = 1,124,283 : x
  2. Step 2: Convert to fraction form
    524,965/1,124,283 = 1,124,283/x
  3. Step 3: Cross multiply
    524,965x = 1,124,283 × 1,124,283
  4. Step 4: Simplify right side
    524,965x = 1,264,012,264,089
  5. Step 5: Solve for x
    x = 1,264,012,264,089/524,965
  6. Step 6: Final answer
    x = 2,407,802.93

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Why These Related Problems?

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