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Finding the Third Proportional to 977,958 and 1,556,037

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Solution

The third proportional to 977,958 and 1,556,037 is: 2,475,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,958 : 1,556,037 = 1,556,037 : x
  2. Step 2: Convert to fraction form
    977,958/1,556,037 = 1,556,037/x
  3. Step 3: Cross multiply
    977,958x = 1,556,037 × 1,556,037
  4. Step 4: Simplify right side
    977,958x = 2,421,251,145,369
  5. Step 5: Solve for x
    x = 2,421,251,145,369/977,958
  6. Step 6: Final answer
    x = 2,475,823.24

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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.