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Finding the Third Proportional to 476,312 and 1,018,108

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Solution

The third proportional to 476,312 and 1,018,108 is: 2,176,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,312 : 1,018,108 = 1,018,108 : x
  2. Step 2: Convert to fraction form
    476,312/1,018,108 = 1,018,108/x
  3. Step 3: Cross multiply
    476,312x = 1,018,108 × 1,018,108
  4. Step 4: Simplify right side
    476,312x = 1,036,543,899,664
  5. Step 5: Solve for x
    x = 1,036,543,899,664/476,312
  6. Step 6: Final answer
    x = 2,176,186.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.