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Finding the Third Proportional to 583,688 and 1,278,090

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Solution

The third proportional to 583,688 and 1,278,090 is: 2,798,608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,688 : 1,278,090 = 1,278,090 : x
  2. Step 2: Convert to fraction form
    583,688/1,278,090 = 1,278,090/x
  3. Step 3: Cross multiply
    583,688x = 1,278,090 × 1,278,090
  4. Step 4: Simplify right side
    583,688x = 1,633,514,048,100
  5. Step 5: Solve for x
    x = 1,633,514,048,100/583,688
  6. Step 6: Final answer
    x = 2,798,608.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.