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Finding the Third Proportional to 456,922,046 and 696,096,417

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Solution

The third proportional to 456,922,046 and 696,096,417 is: 1,060,465,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,922,046 : 696,096,417 = 696,096,417 : x
  2. Step 2: Convert to fraction form
    456,922,046/696,096,417 = 696,096,417/x
  3. Step 3: Cross multiply
    456,922,046x = 696,096,417 × 696,096,417
  4. Step 4: Simplify right side
    456,922,046x = 484,550,221,760,237,888
  5. Step 5: Solve for x
    x = 484,550,221,760,237,888/456,922,046
  6. Step 6: Final answer
    x = 1,060,465,840.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.