Finding the Third Proportional to 463,871 and 1,006,460
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Solution
The third proportional to 463,871 and 1,006,460 is: 2,183,714.29
Step by Step Solution
- Step 1: Write the proportion equation
463,871 : 1,006,460 = 1,006,460 : x - Step 2: Convert to fraction form
463,871/1,006,460 = 1,006,460/x - Step 3: Cross multiply
463,871x = 1,006,460 × 1,006,460 - Step 4: Simplify right side
463,871x = 1,012,961,731,600 - Step 5: Solve for x
x = 1,012,961,731,600/463,871 - Step 6: Final answer
x = 2,183,714.29
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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.