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Finding the Third Proportional to 648,146 and 1,014,435

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Solution

The third proportional to 648,146 and 1,014,435 is: 1,587,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,146 : 1,014,435 = 1,014,435 : x
  2. Step 2: Convert to fraction form
    648,146/1,014,435 = 1,014,435/x
  3. Step 3: Cross multiply
    648,146x = 1,014,435 × 1,014,435
  4. Step 4: Simplify right side
    648,146x = 1,029,078,369,225
  5. Step 5: Solve for x
    x = 1,029,078,369,225/648,146
  6. Step 6: Final answer
    x = 1,587,726.17

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.