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Finding the Third Proportional to 586,896 and 1,219,710

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Solution

The third proportional to 586,896 and 1,219,710 is: 2,534,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,896 : 1,219,710 = 1,219,710 : x
  2. Step 2: Convert to fraction form
    586,896/1,219,710 = 1,219,710/x
  3. Step 3: Cross multiply
    586,896x = 1,219,710 × 1,219,710
  4. Step 4: Simplify right side
    586,896x = 1,487,692,484,100
  5. Step 5: Solve for x
    x = 1,487,692,484,100/586,896
  6. Step 6: Final answer
    x = 2,534,848.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.