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Finding the Third Proportional to 437,639,248 and 692,990,656

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Solution

The third proportional to 437,639,248 and 692,990,656 is: 1,097,333,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,639,248 : 692,990,656 = 692,990,656 : x
  2. Step 2: Convert to fraction form
    437,639,248/692,990,656 = 692,990,656/x
  3. Step 3: Cross multiply
    437,639,248x = 692,990,656 × 692,990,656
  4. Step 4: Simplify right side
    437,639,248x = 480,236,049,303,310,336
  5. Step 5: Solve for x
    x = 480,236,049,303,310,336/437,639,248
  6. Step 6: Final answer
    x = 1,097,333,137.96

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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.