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Finding the Third Proportional to 660,054 and 1,020,390

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Solution

The third proportional to 660,054 and 1,020,390 is: 1,577,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,054 : 1,020,390 = 1,020,390 : x
  2. Step 2: Convert to fraction form
    660,054/1,020,390 = 1,020,390/x
  3. Step 3: Cross multiply
    660,054x = 1,020,390 × 1,020,390
  4. Step 4: Simplify right side
    660,054x = 1,041,195,752,100
  5. Step 5: Solve for x
    x = 1,041,195,752,100/660,054
  6. Step 6: Final answer
    x = 1,577,440.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.