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Finding the Third Proportional to 437,639,192 and 692,990,580

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Solution

The third proportional to 437,639,192 and 692,990,580 is: 1,097,333,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,639,192 : 692,990,580 = 692,990,580 : x
  2. Step 2: Convert to fraction form
    437,639,192/692,990,580 = 692,990,580/x
  3. Step 3: Cross multiply
    437,639,192x = 692,990,580 × 692,990,580
  4. Step 4: Simplify right side
    437,639,192x = 480,235,943,968,736,384
  5. Step 5: Solve for x
    x = 480,235,943,968,736,384/437,639,192
  6. Step 6: Final answer
    x = 1,097,333,037.69

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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.