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Finding the Third Proportional to 1,013,490 and 1,425,465

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Solution

The third proportional to 1,013,490 and 1,425,465 is: 2,004,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,490 : 1,425,465 = 1,425,465 : x
  2. Step 2: Convert to fraction form
    1,013,490/1,425,465 = 1,425,465/x
  3. Step 3: Cross multiply
    1,013,490x = 1,425,465 × 1,425,465
  4. Step 4: Simplify right side
    1,013,490x = 2,031,950,466,225
  5. Step 5: Solve for x
    x = 2,031,950,466,225/1,013,490
  6. Step 6: Final answer
    x = 2,004,904.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.