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Finding the Third Proportional to 575,526 and 900,837

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Solution

The third proportional to 575,526 and 900,837 is: 1,410,027.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,526 : 900,837 = 900,837 : x
  2. Step 2: Convert to fraction form
    575,526/900,837 = 900,837/x
  3. Step 3: Cross multiply
    575,526x = 900,837 × 900,837
  4. Step 4: Simplify right side
    575,526x = 811,507,300,569
  5. Step 5: Solve for x
    x = 811,507,300,569/575,526
  6. Step 6: Final answer
    x = 1,410,027.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.