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Finding the Third Proportional to 488,643 and 1,060,842

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Solution

The third proportional to 488,643 and 1,060,842 is: 2,303,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,643 : 1,060,842 = 1,060,842 : x
  2. Step 2: Convert to fraction form
    488,643/1,060,842 = 1,060,842/x
  3. Step 3: Cross multiply
    488,643x = 1,060,842 × 1,060,842
  4. Step 4: Simplify right side
    488,643x = 1,125,385,748,964
  5. Step 5: Solve for x
    x = 1,125,385,748,964/488,643
  6. Step 6: Final answer
    x = 2,303,083.74

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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.