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Finding the Third Proportional to 900,059 and 1,266,045.50

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Solution

The third proportional to 900,059 and 1,266,045.50 is: 1,780,851.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,059 : 1,266,045.50 = 1,266,045.50 : x
  2. Step 2: Convert to fraction form
    900,059/1,266,045.50 = 1,266,045.50/x
  3. Step 3: Cross multiply
    900,059x = 1,266,045.50 × 1,266,045.50
  4. Step 4: Simplify right side
    900,059x = 1,602,871,208,070.25
  5. Step 5: Solve for x
    x = 1,602,871,208,070.25/900,059
  6. Step 6: Final answer
    x = 1,780,851.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.