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Finding the Third Proportional to 546,312 and 1,182,480

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Solution

The third proportional to 546,312 and 1,182,480 is: 2,559,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,312 : 1,182,480 = 1,182,480 : x
  2. Step 2: Convert to fraction form
    546,312/1,182,480 = 1,182,480/x
  3. Step 3: Cross multiply
    546,312x = 1,182,480 × 1,182,480
  4. Step 4: Simplify right side
    546,312x = 1,398,258,950,400
  5. Step 5: Solve for x
    x = 1,398,258,950,400/546,312
  6. Step 6: Final answer
    x = 2,559,451.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.