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Finding the Third Proportional to 605,426,472 and 947,657,785

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Solution

The third proportional to 605,426,472 and 947,657,785 is: 1,483,343,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,426,472 : 947,657,785 = 947,657,785 : x
  2. Step 2: Convert to fraction form
    605,426,472/947,657,785 = 947,657,785/x
  3. Step 3: Cross multiply
    605,426,472x = 947,657,785 × 947,657,785
  4. Step 4: Simplify right side
    605,426,472x = 898,055,277,471,106,176
  5. Step 5: Solve for x
    x = 898,055,277,471,106,176/605,426,472
  6. Step 6: Final answer
    x = 1,483,343,261.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.