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Finding the Third Proportional to 423,201,816 and 653,660,340

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Solution

The third proportional to 423,201,816 and 653,660,340 is: 1,009,617,217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,201,816 : 653,660,340 = 653,660,340 : x
  2. Step 2: Convert to fraction form
    423,201,816/653,660,340 = 653,660,340/x
  3. Step 3: Cross multiply
    423,201,816x = 653,660,340 × 653,660,340
  4. Step 4: Simplify right side
    423,201,816x = 427,271,840,088,915,584
  5. Step 5: Solve for x
    x = 427,271,840,088,915,584/423,201,816
  6. Step 6: Final answer
    x = 1,009,617,217.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.