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Finding the Third Proportional to 830,046 and 1,252,689

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Solution

The third proportional to 830,046 and 1,252,689 is: 1,890,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,046 : 1,252,689 = 1,252,689 : x
  2. Step 2: Convert to fraction form
    830,046/1,252,689 = 1,252,689/x
  3. Step 3: Cross multiply
    830,046x = 1,252,689 × 1,252,689
  4. Step 4: Simplify right side
    830,046x = 1,569,229,730,721
  5. Step 5: Solve for x
    x = 1,569,229,730,721/830,046
  6. Step 6: Final answer
    x = 1,890,533.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.