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Finding the Third Proportional to 1,688,952 and 3,640,344

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Solution

The third proportional to 1,688,952 and 3,640,344 is: 7,846,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,952 : 3,640,344 = 3,640,344 : x
  2. Step 2: Convert to fraction form
    1,688,952/3,640,344 = 3,640,344/x
  3. Step 3: Cross multiply
    1,688,952x = 3,640,344 × 3,640,344
  4. Step 4: Simplify right side
    1,688,952x = 13,252,104,438,336
  5. Step 5: Solve for x
    x = 13,252,104,438,336/1,688,952
  6. Step 6: Final answer
    x = 7,846,347.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.