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Finding the Third Proportional to 684,804 and 1,064,508

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Solution

The third proportional to 684,804 and 1,064,508 is: 1,654,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,804 : 1,064,508 = 1,064,508 : x
  2. Step 2: Convert to fraction form
    684,804/1,064,508 = 1,064,508/x
  3. Step 3: Cross multiply
    684,804x = 1,064,508 × 1,064,508
  4. Step 4: Simplify right side
    684,804x = 1,133,177,282,064
  5. Step 5: Solve for x
    x = 1,133,177,282,064/684,804
  6. Step 6: Final answer
    x = 1,654,746.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.