Finding the Third Proportional to 450,905,946 and 698,177,505
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Solution
The third proportional to 450,905,946 and 698,177,505 is: 1,081,049,901.45
Step by Step Solution
- Step 1: Write the proportion equation
450,905,946 : 698,177,505 = 698,177,505 : x - Step 2: Convert to fraction form
450,905,946/698,177,505 = 698,177,505/x - Step 3: Cross multiply
450,905,946x = 698,177,505 × 698,177,505 - Step 4: Simplify right side
450,905,946x = 487,451,828,488,025,024 - Step 5: Solve for x
x = 487,451,828,488,025,024/450,905,946 - Step 6: Final answer
x = 1,081,049,901.45
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.