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Finding the Third Proportional to 459,239,370 and 709,164,522

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Solution

The third proportional to 459,239,370 and 709,164,522 is: 1,095,102,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,239,370 : 709,164,522 = 709,164,522 : x
  2. Step 2: Convert to fraction form
    459,239,370/709,164,522 = 709,164,522/x
  3. Step 3: Cross multiply
    459,239,370x = 709,164,522 × 709,164,522
  4. Step 4: Simplify right side
    459,239,370x = 502,914,319,263,488,512
  5. Step 5: Solve for x
    x = 502,914,319,263,488,512/459,239,370
  6. Step 6: Final answer
    x = 1,095,102,798.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.