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Finding the Third Proportional to 453,848 and 975,088

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Solution

The third proportional to 453,848 and 975,088 is: 2,094,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,848 : 975,088 = 975,088 : x
  2. Step 2: Convert to fraction form
    453,848/975,088 = 975,088/x
  3. Step 3: Cross multiply
    453,848x = 975,088 × 975,088
  4. Step 4: Simplify right side
    453,848x = 950,796,607,744
  5. Step 5: Solve for x
    x = 950,796,607,744/453,848
  6. Step 6: Final answer
    x = 2,094,967.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.