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Finding the Third Proportional to 724,648 and 1,064,814

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Solution

The third proportional to 724,648 and 1,064,814 is: 1,564,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,648 : 1,064,814 = 1,064,814 : x
  2. Step 2: Convert to fraction form
    724,648/1,064,814 = 1,064,814/x
  3. Step 3: Cross multiply
    724,648x = 1,064,814 × 1,064,814
  4. Step 4: Simplify right side
    724,648x = 1,133,828,854,596
  5. Step 5: Solve for x
    x = 1,133,828,854,596/724,648
  6. Step 6: Final answer
    x = 1,564,661.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.