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Finding the Third Proportional to 846,403,634 and 1,307,320,683

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Solution

The third proportional to 846,403,634 and 1,307,320,683 is: 2,019,234,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,403,634 : 1,307,320,683 = 1,307,320,683 : x
  2. Step 2: Convert to fraction form
    846,403,634/1,307,320,683 = 1,307,320,683/x
  3. Step 3: Cross multiply
    846,403,634x = 1,307,320,683 × 1,307,320,683
  4. Step 4: Simplify right side
    846,403,634x = 1,709,087,368,199,586,560
  5. Step 5: Solve for x
    x = 1,709,087,368,199,586,560/846,403,634
  6. Step 6: Final answer
    x = 2,019,234,440.34

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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.