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Finding the Third Proportional to 630,462 and 943,461

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Solution

The third proportional to 630,462 and 943,461 is: 1,411,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,462 : 943,461 = 943,461 : x
  2. Step 2: Convert to fraction form
    630,462/943,461 = 943,461/x
  3. Step 3: Cross multiply
    630,462x = 943,461 × 943,461
  4. Step 4: Simplify right side
    630,462x = 890,118,658,521
  5. Step 5: Solve for x
    x = 890,118,658,521/630,462
  6. Step 6: Final answer
    x = 1,411,851.40

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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.