Finding the Third Proportional to 456,921,675 and 696,095,892
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Solution
The third proportional to 456,921,675 and 696,095,892 is: 1,060,465,102.38
Step by Step Solution
- Step 1: Write the proportion equation
456,921,675 : 696,095,892 = 696,095,892 : x - Step 2: Convert to fraction form
456,921,675/696,095,892 = 696,095,892/x - Step 3: Cross multiply
456,921,675x = 696,095,892 × 696,095,892 - Step 4: Simplify right side
456,921,675x = 484,549,490,859,275,648 - Step 5: Solve for x
x = 484,549,490,859,275,648/456,921,675 - Step 6: Final answer
x = 1,060,465,102.38
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.