Finding the Third Proportional to 970,374 and 2,105,682
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Solution
The third proportional to 970,374 and 2,105,682 is: 4,569,265.75
Step by Step Solution
- Step 1: Write the proportion equation
970,374 : 2,105,682 = 2,105,682 : x - Step 2: Convert to fraction form
970,374/2,105,682 = 2,105,682/x - Step 3: Cross multiply
970,374x = 2,105,682 × 2,105,682 - Step 4: Simplify right side
970,374x = 4,433,896,685,124 - Step 5: Solve for x
x = 4,433,896,685,124/970,374 - Step 6: Final answer
x = 4,569,265.75
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.