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Finding the Third Proportional to 470,312 and 1,014,964

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Solution

The third proportional to 470,312 and 1,014,964 is: 2,190,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,312 : 1,014,964 = 1,014,964 : x
  2. Step 2: Convert to fraction form
    470,312/1,014,964 = 1,014,964/x
  3. Step 3: Cross multiply
    470,312x = 1,014,964 × 1,014,964
  4. Step 4: Simplify right side
    470,312x = 1,030,151,921,296
  5. Step 5: Solve for x
    x = 1,030,151,921,296/470,312
  6. Step 6: Final answer
    x = 2,190,358.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.