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Finding the Third Proportional to 607,405,132 and 907,127,420

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Solution

The third proportional to 607,405,132 and 907,127,420 is: 1,354,746,795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,405,132 : 907,127,420 = 907,127,420 : x
  2. Step 2: Convert to fraction form
    607,405,132/907,127,420 = 907,127,420/x
  3. Step 3: Cross multiply
    607,405,132x = 907,127,420 × 907,127,420
  4. Step 4: Simplify right side
    607,405,132x = 822,880,156,115,856,384
  5. Step 5: Solve for x
    x = 822,880,156,115,856,384/607,405,132
  6. Step 6: Final answer
    x = 1,354,746,795.45

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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.