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Finding the Third Proportional to 804,597,776 and 1,737,406,240

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Solution

The third proportional to 804,597,776 and 1,737,406,240 is: 3,751,663,915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,597,776 : 1,737,406,240 = 1,737,406,240 : x
  2. Step 2: Convert to fraction form
    804,597,776/1,737,406,240 = 1,737,406,240/x
  3. Step 3: Cross multiply
    804,597,776x = 1,737,406,240 × 1,737,406,240
  4. Step 4: Simplify right side
    804,597,776x = 3,018,580,442,790,937,600
  5. Step 5: Solve for x
    x = 3,018,580,442,790,937,600/804,597,776
  6. Step 6: Final answer
    x = 3,751,663,915.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.