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Finding the Third Proportional to 640,018 and 1,400,564

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Solution

The third proportional to 640,018 and 1,400,564 is: 3,064,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,018 : 1,400,564 = 1,400,564 : x
  2. Step 2: Convert to fraction form
    640,018/1,400,564 = 1,400,564/x
  3. Step 3: Cross multiply
    640,018x = 1,400,564 × 1,400,564
  4. Step 4: Simplify right side
    640,018x = 1,961,579,518,096
  5. Step 5: Solve for x
    x = 1,961,579,518,096/640,018
  6. Step 6: Final answer
    x = 3,064,881.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.