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Finding the Third Proportional to 664,258 and 1,057,476

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Solution

The third proportional to 664,258 and 1,057,476 is: 1,683,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,258 : 1,057,476 = 1,057,476 : x
  2. Step 2: Convert to fraction form
    664,258/1,057,476 = 1,057,476/x
  3. Step 3: Cross multiply
    664,258x = 1,057,476 × 1,057,476
  4. Step 4: Simplify right side
    664,258x = 1,118,255,490,576
  5. Step 5: Solve for x
    x = 1,118,255,490,576/664,258
  6. Step 6: Final answer
    x = 1,683,465.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.