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Finding the Third Proportional to 688,006 and 1,011,788

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Solution

The third proportional to 688,006 and 1,011,788 is: 1,487,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,006 : 1,011,788 = 1,011,788 : x
  2. Step 2: Convert to fraction form
    688,006/1,011,788 = 1,011,788/x
  3. Step 3: Cross multiply
    688,006x = 1,011,788 × 1,011,788
  4. Step 4: Simplify right side
    688,006x = 1,023,714,956,944
  5. Step 5: Solve for x
    x = 1,023,714,956,944/688,006
  6. Step 6: Final answer
    x = 1,487,944.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.