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Finding the Third Proportional to 973,421,446 and 1,484,649,906

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Solution

The third proportional to 973,421,446 and 1,484,649,906 is: 2,264,368,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,421,446 : 1,484,649,906 = 1,484,649,906 : x
  2. Step 2: Convert to fraction form
    973,421,446/1,484,649,906 = 1,484,649,906/x
  3. Step 3: Cross multiply
    973,421,446x = 1,484,649,906 × 1,484,649,906
  4. Step 4: Simplify right side
    973,421,446x = 2,204,185,343,385,808,896
  5. Step 5: Solve for x
    x = 2,204,185,343,385,808,896/973,421,446
  6. Step 6: Final answer
    x = 2,264,368,997.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.