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Finding the Third Proportional to 690,746,757 and 1,409,240,766

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Solution

The third proportional to 690,746,757 and 1,409,240,766 is: 2,875,090,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,746,757 : 1,409,240,766 = 1,409,240,766 : x
  2. Step 2: Convert to fraction form
    690,746,757/1,409,240,766 = 1,409,240,766/x
  3. Step 3: Cross multiply
    690,746,757x = 1,409,240,766 × 1,409,240,766
  4. Step 4: Simplify right side
    690,746,757x = 1,985,959,536,556,266,752
  5. Step 5: Solve for x
    x = 1,985,959,536,556,266,752/690,746,757
  6. Step 6: Final answer
    x = 2,875,090,641.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.