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Finding the Third Proportional to 916,080 and 1,953,920

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Solution

The third proportional to 916,080 and 1,953,920 is: 4,167,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,080 : 1,953,920 = 1,953,920 : x
  2. Step 2: Convert to fraction form
    916,080/1,953,920 = 1,953,920/x
  3. Step 3: Cross multiply
    916,080x = 1,953,920 × 1,953,920
  4. Step 4: Simplify right side
    916,080x = 3,817,803,366,400
  5. Step 5: Solve for x
    x = 3,817,803,366,400/916,080
  6. Step 6: Final answer
    x = 4,167,543.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.