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Finding the Third Proportional to 607,405,128 and 907,127,414

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Solution

The third proportional to 607,405,128 and 907,127,414 is: 1,354,746,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,405,128 : 907,127,414 = 907,127,414 : x
  2. Step 2: Convert to fraction form
    607,405,128/907,127,414 = 907,127,414/x
  3. Step 3: Cross multiply
    607,405,128x = 907,127,414 × 907,127,414
  4. Step 4: Simplify right side
    607,405,128x = 822,880,145,230,327,424
  5. Step 5: Solve for x
    x = 822,880,145,230,327,424/607,405,128
  6. Step 6: Final answer
    x = 1,354,746,786.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.