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Finding the Third Proportional to 287,243,922 and 454,913,580

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Solution

The third proportional to 287,243,922 and 454,913,580 is: 720,455,158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,243,922 : 454,913,580 = 454,913,580 : x
  2. Step 2: Convert to fraction form
    287,243,922/454,913,580 = 454,913,580/x
  3. Step 3: Cross multiply
    287,243,922x = 454,913,580 × 454,913,580
  4. Step 4: Simplify right side
    287,243,922x = 206,946,365,268,416,384
  5. Step 5: Solve for x
    x = 206,946,365,268,416,384/287,243,922
  6. Step 6: Final answer
    x = 720,455,158.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.