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Finding the Third Proportional to 977,384 and 2,153,584

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Solution

The third proportional to 977,384 and 2,153,584 is: 4,745,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,384 : 2,153,584 = 2,153,584 : x
  2. Step 2: Convert to fraction form
    977,384/2,153,584 = 2,153,584/x
  3. Step 3: Cross multiply
    977,384x = 2,153,584 × 2,153,584
  4. Step 4: Simplify right side
    977,384x = 4,637,924,045,056
  5. Step 5: Solve for x
    x = 4,637,924,045,056/977,384
  6. Step 6: Final answer
    x = 4,745,242.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.