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Finding the Third Proportional to 507,024 and 1,097,712

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Solution

The third proportional to 507,024 and 1,097,712 is: 2,376,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,024 : 1,097,712 = 1,097,712 : x
  2. Step 2: Convert to fraction form
    507,024/1,097,712 = 1,097,712/x
  3. Step 3: Cross multiply
    507,024x = 1,097,712 × 1,097,712
  4. Step 4: Simplify right side
    507,024x = 1,204,971,634,944
  5. Step 5: Solve for x
    x = 1,204,971,634,944/507,024
  6. Step 6: Final answer
    x = 2,376,557.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.