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Finding the Third Proportional to 604,876,908 and 934,178,046

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Solution

The third proportional to 604,876,908 and 934,178,046 is: 1,442,754,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,876,908 : 934,178,046 = 934,178,046 : x
  2. Step 2: Convert to fraction form
    604,876,908/934,178,046 = 934,178,046/x
  3. Step 3: Cross multiply
    604,876,908x = 934,178,046 × 934,178,046
  4. Step 4: Simplify right side
    604,876,908x = 872,688,621,628,378,112
  5. Step 5: Solve for x
    x = 872,688,621,628,378,112/604,876,908
  6. Step 6: Final answer
    x = 1,442,754,071.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.