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Finding the Third Proportional to 607,405,047 and 907,127,298

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Solution

The third proportional to 607,405,047 and 907,127,298 is: 1,354,746,620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,405,047 : 907,127,298 = 907,127,298 : x
  2. Step 2: Convert to fraction form
    607,405,047/907,127,298 = 907,127,298/x
  3. Step 3: Cross multiply
    607,405,047x = 907,127,298 × 907,127,298
  4. Step 4: Simplify right side
    607,405,047x = 822,879,934,776,780,800
  5. Step 5: Solve for x
    x = 822,879,934,776,780,800/607,405,047
  6. Step 6: Final answer
    x = 1,354,746,620.63

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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.