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Finding the Third Proportional to 583,364 and 1,247,646

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Solution

The third proportional to 583,364 and 1,247,646 is: 2,668,352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,364 : 1,247,646 = 1,247,646 : x
  2. Step 2: Convert to fraction form
    583,364/1,247,646 = 1,247,646/x
  3. Step 3: Cross multiply
    583,364x = 1,247,646 × 1,247,646
  4. Step 4: Simplify right side
    583,364x = 1,556,620,541,316
  5. Step 5: Solve for x
    x = 1,556,620,541,316/583,364
  6. Step 6: Final answer
    x = 2,668,352.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.