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Finding the Third Proportional to 684,056 and 1,499,454

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Solution

The third proportional to 684,056 and 1,499,454 is: 3,286,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,056 : 1,499,454 = 1,499,454 : x
  2. Step 2: Convert to fraction form
    684,056/1,499,454 = 1,499,454/x
  3. Step 3: Cross multiply
    684,056x = 1,499,454 × 1,499,454
  4. Step 4: Simplify right side
    684,056x = 2,248,362,298,116
  5. Step 5: Solve for x
    x = 2,248,362,298,116/684,056
  6. Step 6: Final answer
    x = 3,286,810.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.