Finding the Third Proportional to 511,724,258 and 748,395,416
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Solution
The third proportional to 511,724,258 and 748,395,416 is: 1,094,526,378.09
Step by Step Solution
- Step 1: Write the proportion equation
511,724,258 : 748,395,416 = 748,395,416 : x - Step 2: Convert to fraction form
511,724,258/748,395,416 = 748,395,416/x - Step 3: Cross multiply
511,724,258x = 748,395,416 × 748,395,416 - Step 4: Simplify right side
511,724,258x = 560,095,698,689,813,056 - Step 5: Solve for x
x = 560,095,698,689,813,056/511,724,258 - Step 6: Final answer
x = 1,094,526,378.09
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.