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Finding the Third Proportional to 869,364 and 1,383,316

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Solution

The third proportional to 869,364 and 1,383,316 is: 2,201,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,364 : 1,383,316 = 1,383,316 : x
  2. Step 2: Convert to fraction form
    869,364/1,383,316 = 1,383,316/x
  3. Step 3: Cross multiply
    869,364x = 1,383,316 × 1,383,316
  4. Step 4: Simplify right side
    869,364x = 1,913,563,155,856
  5. Step 5: Solve for x
    x = 1,913,563,155,856/869,364
  6. Step 6: Final answer
    x = 2,201,106.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.