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Finding the Third Proportional to 578,442 and 889,653

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Solution

The third proportional to 578,442 and 889,653 is: 1,368,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,442 : 889,653 = 889,653 : x
  2. Step 2: Convert to fraction form
    578,442/889,653 = 889,653/x
  3. Step 3: Cross multiply
    578,442x = 889,653 × 889,653
  4. Step 4: Simplify right side
    578,442x = 791,482,460,409
  5. Step 5: Solve for x
    x = 791,482,460,409/578,442
  6. Step 6: Final answer
    x = 1,368,300.47

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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.