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Finding the Third Proportional to 453,196 and 953,048

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Solution

The third proportional to 453,196 and 953,048 is: 2,004,211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,196 : 953,048 = 953,048 : x
  2. Step 2: Convert to fraction form
    453,196/953,048 = 953,048/x
  3. Step 3: Cross multiply
    453,196x = 953,048 × 953,048
  4. Step 4: Simplify right side
    453,196x = 908,300,490,304
  5. Step 5: Solve for x
    x = 908,300,490,304/453,196
  6. Step 6: Final answer
    x = 2,004,211.18

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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.