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Finding the Third Proportional to 545,854 and 1,184,480

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Solution

The third proportional to 545,854 and 1,184,480 is: 2,570,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,854 : 1,184,480 = 1,184,480 : x
  2. Step 2: Convert to fraction form
    545,854/1,184,480 = 1,184,480/x
  3. Step 3: Cross multiply
    545,854x = 1,184,480 × 1,184,480
  4. Step 4: Simplify right side
    545,854x = 1,402,992,870,400
  5. Step 5: Solve for x
    x = 1,402,992,870,400/545,854
  6. Step 6: Final answer
    x = 2,570,271.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.