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Finding the Third Proportional to 760,770 and 1,606,410

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Solution

The third proportional to 760,770 and 1,606,410 is: 3,392,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,770 : 1,606,410 = 1,606,410 : x
  2. Step 2: Convert to fraction form
    760,770/1,606,410 = 1,606,410/x
  3. Step 3: Cross multiply
    760,770x = 1,606,410 × 1,606,410
  4. Step 4: Simplify right side
    760,770x = 2,580,553,088,100
  5. Step 5: Solve for x
    x = 2,580,553,088,100/760,770
  6. Step 6: Final answer
    x = 3,392,027.93

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.