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Finding the Third Proportional to 453,684 and 953,804

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Solution

The third proportional to 453,684 and 953,804 is: 2,005,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,684 : 953,804 = 953,804 : x
  2. Step 2: Convert to fraction form
    453,684/953,804 = 953,804/x
  3. Step 3: Cross multiply
    453,684x = 953,804 × 953,804
  4. Step 4: Simplify right side
    453,684x = 909,742,070,416
  5. Step 5: Solve for x
    x = 909,742,070,416/453,684
  6. Step 6: Final answer
    x = 2,005,232.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.