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Finding the Third Proportional to 583,526 and 1,266,642

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Solution

The third proportional to 583,526 and 1,266,642 is: 2,749,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,526 : 1,266,642 = 1,266,642 : x
  2. Step 2: Convert to fraction form
    583,526/1,266,642 = 1,266,642/x
  3. Step 3: Cross multiply
    583,526x = 1,266,642 × 1,266,642
  4. Step 4: Simplify right side
    583,526x = 1,604,381,956,164
  5. Step 5: Solve for x
    x = 1,604,381,956,164/583,526
  6. Step 6: Final answer
    x = 2,749,460.96

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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.