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Finding the Third Proportional to 765,536 and 1,788,072

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Solution

The third proportional to 765,536 and 1,788,072 is: 4,176,422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,536 : 1,788,072 = 1,788,072 : x
  2. Step 2: Convert to fraction form
    765,536/1,788,072 = 1,788,072/x
  3. Step 3: Cross multiply
    765,536x = 1,788,072 × 1,788,072
  4. Step 4: Simplify right side
    765,536x = 3,197,201,477,184
  5. Step 5: Solve for x
    x = 3,197,201,477,184/765,536
  6. Step 6: Final answer
    x = 4,176,422.11

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.