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Finding the Third Proportional to 473,010.75 and 1,064,430

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Solution

The third proportional to 473,010.75 and 1,064,430 is: 2,395,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,010.75 : 1,064,430 = 1,064,430 : x
  2. Step 2: Convert to fraction form
    473,010.75/1,064,430 = 1,064,430/x
  3. Step 3: Cross multiply
    473,010.75x = 1,064,430 × 1,064,430
  4. Step 4: Simplify right side
    473,010.75x = 1,133,011,224,900
  5. Step 5: Solve for x
    x = 1,133,011,224,900/473,010.75
  6. Step 6: Final answer
    x = 2,395,318.13

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.