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Finding the Third Proportional to 630,437 and 943,428

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Solution

The third proportional to 630,437 and 943,428 is: 1,411,808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,437 : 943,428 = 943,428 : x
  2. Step 2: Convert to fraction form
    630,437/943,428 = 943,428/x
  3. Step 3: Cross multiply
    630,437x = 943,428 × 943,428
  4. Step 4: Simplify right side
    630,437x = 890,056,391,184
  5. Step 5: Solve for x
    x = 890,056,391,184/630,437
  6. Step 6: Final answer
    x = 1,411,808.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.