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Finding the Third Proportional to 437,639,224 and 692,990,628

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Solution

The third proportional to 437,639,224 and 692,990,628 is: 1,097,333,109.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,639,224 : 692,990,628 = 692,990,628 : x
  2. Step 2: Convert to fraction form
    437,639,224/692,990,628 = 692,990,628/x
  3. Step 3: Cross multiply
    437,639,224x = 692,990,628 × 692,990,628
  4. Step 4: Simplify right side
    437,639,224x = 480,236,010,495,834,368
  5. Step 5: Solve for x
    x = 480,236,010,495,834,368/437,639,224
  6. Step 6: Final answer
    x = 1,097,333,109.47

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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.