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Finding the Third Proportional to 977,685 and 2,044,718.25

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Solution

The third proportional to 977,685 and 2,044,718.25 is: 4,276,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,685 : 2,044,718.25 = 2,044,718.25 : x
  2. Step 2: Convert to fraction form
    977,685/2,044,718.25 = 2,044,718.25/x
  3. Step 3: Cross multiply
    977,685x = 2,044,718.25 × 2,044,718.25
  4. Step 4: Simplify right side
    977,685x = 4,180,872,721,883.06
  5. Step 5: Solve for x
    x = 4,180,872,721,883.06/977,685
  6. Step 6: Final answer
    x = 4,276,298.32

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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.