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Finding the Third Proportional to 502,035,764 and 1,084,739,752

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Solution

The third proportional to 502,035,764 and 1,084,739,752 is: 2,343,777,901.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,035,764 : 1,084,739,752 = 1,084,739,752 : x
  2. Step 2: Convert to fraction form
    502,035,764/1,084,739,752 = 1,084,739,752/x
  3. Step 3: Cross multiply
    502,035,764x = 1,084,739,752 × 1,084,739,752
  4. Step 4: Simplify right side
    502,035,764x = 1,176,660,329,569,021,440
  5. Step 5: Solve for x
    x = 1,176,660,329,569,021,440/502,035,764
  6. Step 6: Final answer
    x = 2,343,777,901.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.