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Finding the Third Proportional to 583,364 and 1,227,784

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Solution

The third proportional to 583,364 and 1,227,784 is: 2,584,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,364 : 1,227,784 = 1,227,784 : x
  2. Step 2: Convert to fraction form
    583,364/1,227,784 = 1,227,784/x
  3. Step 3: Cross multiply
    583,364x = 1,227,784 × 1,227,784
  4. Step 4: Simplify right side
    583,364x = 1,507,453,550,656
  5. Step 5: Solve for x
    x = 1,507,453,550,656/583,364
  6. Step 6: Final answer
    x = 2,584,070.24

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