Finding the Third Proportional to 471,838,689 and 1,034,376,642
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Solution
The third proportional to 471,838,689 and 1,034,376,642 is: 2,267,586,491.86
Step by Step Solution
- Step 1: Write the proportion equation
471,838,689 : 1,034,376,642 = 1,034,376,642 : x - Step 2: Convert to fraction form
471,838,689/1,034,376,642 = 1,034,376,642/x - Step 3: Cross multiply
471,838,689x = 1,034,376,642 × 1,034,376,642 - Step 4: Simplify right side
471,838,689x = 1,069,935,037,515,196,160 - Step 5: Solve for x
x = 1,069,935,037,515,196,160/471,838,689 - Step 6: Final answer
x = 2,267,586,491.86
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.