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Finding the Third Proportional to 605,426,478 and 947,657,793

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Solution

The third proportional to 605,426,478 and 947,657,793 is: 1,483,343,271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,426,478 : 947,657,793 = 947,657,793 : x
  2. Step 2: Convert to fraction form
    605,426,478/947,657,793 = 947,657,793/x
  3. Step 3: Cross multiply
    605,426,478x = 947,657,793 × 947,657,793
  4. Step 4: Simplify right side
    605,426,478x = 898,055,292,633,630,848
  5. Step 5: Solve for x
    x = 898,055,292,633,630,848/605,426,478
  6. Step 6: Final answer
    x = 1,483,343,271.67

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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.