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Finding the Third Proportional to 935,490 and 1,411,695

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Solution

The third proportional to 935,490 and 1,411,695 is: 2,130,309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,490 : 1,411,695 = 1,411,695 : x
  2. Step 2: Convert to fraction form
    935,490/1,411,695 = 1,411,695/x
  3. Step 3: Cross multiply
    935,490x = 1,411,695 × 1,411,695
  4. Step 4: Simplify right side
    935,490x = 1,992,882,773,025
  5. Step 5: Solve for x
    x = 1,992,882,773,025/935,490
  6. Step 6: Final answer
    x = 2,130,309.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.