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Finding the Third Proportional to 811,692,995 and 1,254,814,248

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Solution

The third proportional to 811,692,995 and 1,254,814,248 is: 1,939,845,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,692,995 : 1,254,814,248 = 1,254,814,248 : x
  2. Step 2: Convert to fraction form
    811,692,995/1,254,814,248 = 1,254,814,248/x
  3. Step 3: Cross multiply
    811,692,995x = 1,254,814,248 × 1,254,814,248
  4. Step 4: Simplify right side
    811,692,995x = 1,574,558,796,983,805,440
  5. Step 5: Solve for x
    x = 1,574,558,796,983,805,440/811,692,995
  6. Step 6: Final answer
    x = 1,939,845,245.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.