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Finding the Third Proportional to 716,772 and 1,539,786

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Solution

The third proportional to 716,772 and 1,539,786 is: 3,307,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,772 : 1,539,786 = 1,539,786 : x
  2. Step 2: Convert to fraction form
    716,772/1,539,786 = 1,539,786/x
  3. Step 3: Cross multiply
    716,772x = 1,539,786 × 1,539,786
  4. Step 4: Simplify right side
    716,772x = 2,370,940,925,796
  5. Step 5: Solve for x
    x = 2,370,940,925,796/716,772
  6. Step 6: Final answer
    x = 3,307,803.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.