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Finding the Third Proportional to 977,001.75 and 1,550,751.75

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Solution

The third proportional to 977,001.75 and 1,550,751.75 is: 2,461,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,001.75 : 1,550,751.75 = 1,550,751.75 : x
  2. Step 2: Convert to fraction form
    977,001.75/1,550,751.75 = 1,550,751.75/x
  3. Step 3: Cross multiply
    977,001.75x = 1,550,751.75 × 1,550,751.75
  4. Step 4: Simplify right side
    977,001.75x = 2,404,830,990,128.06
  5. Step 5: Solve for x
    x = 2,404,830,990,128.06/977,001.75
  6. Step 6: Final answer
    x = 2,461,439.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.