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Finding the Third Proportional to 764,607 and 1,646,382

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Solution

The third proportional to 764,607 and 1,646,382 is: 3,545,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,607 : 1,646,382 = 1,646,382 : x
  2. Step 2: Convert to fraction form
    764,607/1,646,382 = 1,646,382/x
  3. Step 3: Cross multiply
    764,607x = 1,646,382 × 1,646,382
  4. Step 4: Simplify right side
    764,607x = 2,710,573,689,924
  5. Step 5: Solve for x
    x = 2,710,573,689,924/764,607
  6. Step 6: Final answer
    x = 3,545,054.77

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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.