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Finding the Third Proportional to 977,595.75 and 2,044,564.88

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Solution

The third proportional to 977,595.75 and 2,044,564.88 is: 4,276,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,595.75 : 2,044,564.88 = 2,044,564.88 : x
  2. Step 2: Convert to fraction form
    977,595.75/2,044,564.88 = 2,044,564.88/x
  3. Step 3: Cross multiply
    977,595.75x = 2,044,564.88 × 2,044,564.88
  4. Step 4: Simplify right side
    977,595.75x = 4,180,245,528,083.77
  5. Step 5: Solve for x
    x = 4,180,245,528,083.77/977,595.75
  6. Step 6: Final answer
    x = 4,276,047.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.