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Finding the Third Proportional to 456,814,098 and 676,925,370

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Solution

The third proportional to 456,814,098 and 676,925,370 is: 1,003,095,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,814,098 : 676,925,370 = 676,925,370 : x
  2. Step 2: Convert to fraction form
    456,814,098/676,925,370 = 676,925,370/x
  3. Step 3: Cross multiply
    456,814,098x = 676,925,370 × 676,925,370
  4. Step 4: Simplify right side
    456,814,098x = 458,227,956,549,636,928
  5. Step 5: Solve for x
    x = 458,227,956,549,636,928/456,814,098
  6. Step 6: Final answer
    x = 1,003,095,041.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.