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Finding the Third Proportional to 690,526,490 and 1,479,302,740

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Solution

The third proportional to 690,526,490 and 1,479,302,740 is: 3,169,084,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,526,490 : 1,479,302,740 = 1,479,302,740 : x
  2. Step 2: Convert to fraction form
    690,526,490/1,479,302,740 = 1,479,302,740/x
  3. Step 3: Cross multiply
    690,526,490x = 1,479,302,740 × 1,479,302,740
  4. Step 4: Simplify right side
    690,526,490x = 2,188,336,596,571,507,712
  5. Step 5: Solve for x
    x = 2,188,336,596,571,507,712/690,526,490
  6. Step 6: Final answer
    x = 3,169,084,210.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.