Finding the Third Proportional to 298,508,072 and 645,911,632
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Solution
The third proportional to 298,508,072 and 645,911,632 is: 1,397,623,298.95
Step by Step Solution
- Step 1: Write the proportion equation
298,508,072 : 645,911,632 = 645,911,632 : x - Step 2: Convert to fraction form
298,508,072/645,911,632 = 645,911,632/x - Step 3: Cross multiply
298,508,072x = 645,911,632 × 645,911,632 - Step 4: Simplify right side
298,508,072x = 417,201,836,352,903,424 - Step 5: Solve for x
x = 417,201,836,352,903,424/298,508,072 - Step 6: Final answer
x = 1,397,623,298.95
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.