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Finding the Third Proportional to 507,016 and 1,094,416

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Solution

The third proportional to 507,016 and 1,094,416 is: 2,362,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,016 : 1,094,416 = 1,094,416 : x
  2. Step 2: Convert to fraction form
    507,016/1,094,416 = 1,094,416/x
  3. Step 3: Cross multiply
    507,016x = 1,094,416 × 1,094,416
  4. Step 4: Simplify right side
    507,016x = 1,197,746,381,056
  5. Step 5: Solve for x
    x = 1,197,746,381,056/507,016
  6. Step 6: Final answer
    x = 2,362,344.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.